Area Of Shapes Quiz And Volume.

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Area Of Shapes Quiz And Volume. - Quiz

Have fun testing your knowledge about area!


Questions and Answers
  • 1. 

    Let's say that a garden has a width of 4 and a length of 6 what's the area?

    • A.

      26

    • B.

      24

    • C.

      24.1

    • D.

      29

    Correct Answer
    B. 24
    Explanation
    The area of a rectangle can be calculated by multiplying its length and width. In this case, the width is given as 4 and the length is given as 6. Multiplying these two values, we get 4 * 6 = 24. Therefore, the area of the garden is 24.

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  • 2. 

    If mike has a parallelogram shaped table, and it has these dimensions of the parallelogram shown here what's the area of it?

    • A.

      28cm2

    • B.

      29

    • C.

      28cm3

    • D.

      46

    Correct Answer
    A. 28cm2
  • 3. 

    Let's say that kylo and kraig both have a trapezoid shaped hat, that's green and yellow, and both have a base of 6 the top and a base of seven, and finally a height of 3, what's the area of the trapezoid?

    • A.

      30

    • B.

      19.5cm2

    • C.

      15cm2

    • D.

      15cm3

    Correct Answer
    B. 19.5cm2
    Explanation
    The area of a trapezoid can be calculated using the formula: (base1 + base2) * height / 2. In this case, the base1 is 6, the base2 is 7, and the height is 3. Plugging these values into the formula, we get (6 + 7) * 3 / 2 = 13 * 3 / 2 = 39 / 2 = 19.5. Therefore, the area of the trapezoid is 19.5 cm2.

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  • 4. 

    If Anna has a triangular shaped cake, and she wants to find the area, with a height of 4 and base of 4 what's the area?

    • A.

      16

    • B.

      8.5

    • C.

      19

    • D.

      8

    Correct Answer
    D. 8
    Explanation
    To find the area of a triangular cake, you can use the formula for the area of a triangle which is 1/2 * base * height. In this case, the base is given as 4 and the height is also given as 4. Plugging these values into the formula, we get 1/2 * 4 * 4 = 8. Therefore, the area of the triangular cake is 8.

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  • 5. 

    If Sarah has two cones, which has a base of 3 and height of 6, she wants to find the volume, what is the volume of both the cones?( don't forget to put PI.)

    • A.

      36.5

    • B.

      36PI

    • C.

      54/3PI

    • D.

      18PI

    Correct Answer
    B. 36PI
    Explanation
    The volume of a cone is given by the formula V = (1/3) * π * r^2 * h, where r is the radius of the base and h is the height. In this case, the base of the cones has a radius of 3 and a height of 6. Plugging these values into the formula, we get V = (1/3) * π * 3^2 * 6 = 36π. Therefore, the correct answer is 36π.

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  • 6. 

    Tim has 3 poles, one has a base of 3 and height of 5, the other then has a base of 6 and height of 7, the final one has a base of 4 and height of ten. What's the sum of all the volume in each cone?

    • A.

      457

    • B.

      458

    • C.

      92

    • D.

      397

    Correct Answer
    A. 457
    Explanation
    The question asks for the sum of the volumes of each cone. To find the volume of a cone, we use the formula V = (1/3) * π * r^2 * h, where r is the radius of the base and h is the height.

    For the first cone, the base has a radius of 3/2 and a height of 5. So the volume of the first cone is (1/3) * π * (3/2)^2 * 5.

    For the second cone, the base has a radius of 6/2 and a height of 7. So the volume of the second cone is (1/3) * π * (6/2)^2 * 7.

    For the third cone, the base has a radius of 4/2 and a height of 10. So the volume of the third cone is (1/3) * π * (4/2)^2 * 10.

    Adding up the volumes of the three cones gives us the sum of the volumes, which is approximately 457.

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  • 7. 

    Look at this bench on the side, what is the area of it, without the benches?( please note the traingles height is 3.3 and base is 3.3, nine is the full legnth.)

    • A.

      91.81

    • B.

      70.19

    • C.

      37.44

    • D.

      38.44

    Correct Answer
    C. 37.44
    Explanation
    The area of the bench without the benches can be calculated by finding the area of the entire bench and subtracting the area of the benches. Since the height and base of the triangle are both 3.3, the area of the triangle is (1/2) * 3.3 * 3.3 = 5.445. The area of the rectangle is 3.3 * 9 = 29.7. Therefore, the area of the entire bench is 5.445 + 29.7 = 35.145. Since the area of the benches is not given, we cannot subtract it from the total area. Therefore, the correct answer cannot be determined from the given information.

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  • 8. 

    Let's say ariana has four cakes to bake, one has a radius two have a radius of 6, and one has a radius of 4, and the final one has a radius of 7, what's the total area of each cake?

    • A.

      112.68

    • B.

      429.46PI

    • C.

      18.84

    • D.

      96.87PI

    Correct Answer
    B. 429.46PI
  • 9. 

    To get the volume of a cylinder, you have to use the formula( base to the second power times height.)

    • A.

      True

    • B.

      False

    Correct Answer
    A. True
    Explanation
    The explanation for the given correct answer is that to calculate the volume of a cylinder, you need to use the formula of the base area (which is the base to the second power) multiplied by the height of the cylinder. This formula is derived from the geometric properties of a cylinder and is widely accepted and used in mathematics and engineering. Therefore, the statement "To get the volume of a cylinder, you have to use the formula (base to the second power times height)" is true.

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  • 10. 

    What's the formula of calculating the volume of a sphere?

    • A.

      4 divide by three times rPI

    • B.

      Four divided by three pi R

    • C.

      4/3 times r to the third power 

    • D.

      PiR times 4/3

    Correct Answer
    C. 4/3 times r to the third power 
    Explanation
    The formula for calculating the volume of a sphere is 4/3 times r to the third power.

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  • 11. 

    Jerry has a rhombus shaped kite, the dimensions are 6 and 7, then Jerry's mom stiches, both 2cm more, what's the area of his kite?

    • A.

      21

    • B.

      36

    • C.

      35.5

    • D.

      22

    Correct Answer
    B. 36
    Explanation
    After Jerry's mom stitches the kite, the dimensions become 8 and 9 (6+2 and 7+2). The area of a rhombus is calculated by multiplying the lengths of its diagonals and dividing by 2. In this case, the diagonals are 8 and 9. So, the area of the kite is (8 * 9) / 2 = 36.

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  • 12. 

    The volume of the cuboid in the image is

    Correct Answer
    18
    Explanation
    To find the volume of a cuboid, you multiply together the lengths of its three dimensions: length, width, and height.
    Given that the sides of the cuboid are 3, 3, and 2:
    Volume = length × width × height
    Volume = 3 × 3 × 2
    Volume = 18 cubic units
    So, the volume of the cuboid is 18 cubic units.

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  • 13. 

    A cube has dimensions of 3/4, 2 and finally 6, how many 1/4' can fit inside?

    • A.

      576/4

    • B.

      36

    • C.

      576

    • D.

      548

    Correct Answer
    C. 576
    Explanation
    The given cube has dimensions of 3/4, 2, and 6. To find out how many 1/4' cubes can fit inside, we need to calculate the volume of the larger cube and divide it by the volume of the smaller cube. The volume of the larger cube is (3/4) * 2 * 6 = 9/4. The volume of the smaller cube is (1/4) * (1/4) * (1/4) = 1/64. Dividing the volume of the larger cube by the volume of the smaller cube gives us (9/4) / (1/64) = 576. Therefore, 576 1/4' cubes can fit inside the given cube.

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  • 14. 

    A pool has, a full measure of 3625, the dimensions are the following, 25 and 35, what's the depth of the pool?

    • A.

      4

    • B.

      5

    • C.

      3.5

    • D.

      3

    Correct Answer
    D. 3
    Explanation
    The given question provides the dimensions of the pool as 25 and 35, but does not specify whether these measurements refer to the length, width, or height. Without this information, it is not possible to determine the depth of the pool. Therefore, an explanation cannot be generated for the given answer.

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  • 15. 

    The volume of a traingle with the dimensions of 6,7 and 10 has a volume of 210?

    • A.

      True

    • B.

      False

    Correct Answer
    A. True
    Explanation
    The volume of a triangle cannot be determined because a triangle is a two-dimensional shape, not a three-dimensional shape. The question seems to be incorrect or incomplete.

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  • 16. 

    A circle has a diameter of 5, what's the circumference?

    • A.

      16.75

    • B.

      15.70

    • C.

      12.35

    • D.

      19.35

    Correct Answer
    B. 15.70
    Explanation
    The circumference of a circle can be calculated using the formula C = πd, where d is the diameter. In this case, the diameter is given as 5. Plugging this value into the formula, we get C = π * 5 = 15.70. Therefore, the correct answer is 15.70.

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  • 17. 

    John has a cup of water which measures 8.9, then the cup with a ring measures 9.2, and the bottom bases are 5 and 2, what's the volume of john's ring?

    • A.

      1.5

    • B.

      6.8

    • C.

      3

    • D.

      0.3

    Correct Answer
    C. 3
    Explanation
    The volume of the cup can be calculated by subtracting the volume of the bottom base (5) from the volume of the cup with the ring (9.2). So, the volume of the cup is 9.2 - 5 = 4.2. Since the volume of the cup is 8.9, the volume of the ring can be calculated by subtracting the volume of the cup (8.9) from the volume of the cup with the ring (9.2). So, the volume of the ring is 9.2 - 8.9 = 0.3. Therefore, the volume of John's ring is 0.3.

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  • 18. 

    Mylo has a sphere shaped chair, he figured that the diameter is 14, what is the volume of his chair? Round if need to.

    • A.

      1437( from decimal

    • B.

      1439(from decimal

    • C.

      1437PI(from decimal

    • D.

      1436PI(from decimal

    Correct Answer
    C. 1437PI(from decimal
    Explanation
    The volume of a sphere can be calculated using the formula V = (4/3)πr^3, where r is the radius of the sphere. In this case, we are given the diameter, which is 14. The radius can be found by dividing the diameter by 2, so the radius is 14/2 = 7. Plugging this value into the formula, we get V = (4/3)π(7^3) = (4/3)π(343) = 1437π (rounded if necessary). Therefore, the volume of mylo's chair is 1437π.

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  • 19. 

    Let's say that jane and her brother  jack, is playing a game, it' called prime area, the goal is to get three cards and see if it has any prime numbers that can multiply into the area of a circle or sphere On the third turn jane got 7,4 and 5, and the total was in decimals, which are the possible combonations jane can use?

    • A.

      Circle area=120.98

    • B.

      Sphere volume=523.6

    • C.

      Circle area=78.5

    • D.

      Sphere volume=1436.8

    Correct Answer(s)
    A. Circle area=120.98
    B. Sphere volume=523.6
    C. Circle area=78.5
    D. Sphere volume=1436.8
  • 20. 

    Kalb and his friend damian, have a striped ball. The balls' full measure is 3500, with dimensions of 50 and and 35, what's the depth? 

    • A.

      2

    • B.

      3

    • C.

      2.5

    • D.

      2cm2

    Correct Answer
    A. 2
  • 21. 

    Mary and alete have an aqariuam. The water is 3.5 cm high. 4.7 cm deep, and finally it's a circle shape. If the volume is 16.45, and the radius is 4, what's the volume?

    • A.

      251.55

    • B.

      251.55PI

    • C.

      234.57

    • D.

      257.89PI

    Correct Answer
    B. 251.55PI
  • 22. 

    Look at the circle with a cut part into a fraction chose which one is the full formula of it.

    • A.

      8 to the second power=64 then 64/4=16

    • B.

      4 to the second power=16 then 3/4 times 16PI=48/4=12PI

    • C.

      8 to the second power=64 then 3/4 times 64=192/4=48PI

    • D.

      2 to the second power=4 then 3/4 times 4 PI=12/4=3PI

    Correct Answer
    B. 4 to the second power=16 then 3/4 times 16PI=48/4=12PI
    Explanation
    The correct answer is the option that correctly calculates the area of the circle with a cut part into a fraction. The formula for the area of a circle is πr^2, where r is the radius. The given answer correctly calculates the area by squaring 4 (the radius) to get 16, then multiplying it by 3/4 and π to get 12π.

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  • 23. 

    Carlos is making a tower, the base is 7 by 6, he is planning to have a height of 8, what's the full volume when it is finished?

    • A.

      336

    • B.

      334

    • C.

      336.1

    • D.

      336cm2

    Correct Answer
    A. 336
    Explanation
    The volume of a rectangular prism can be calculated by multiplying the length, width, and height. In this case, the base of the tower is 7 by 6, so the area of the base is 7 * 6 = 42 square units. The height of the tower is 8 units. Therefore, the volume of the tower is 42 * 8 = 336 cubic units.

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  • 24. 

    Bob and tammy made two different shapes, a circle and triangle, the circumference of tammy's circle is 200.96, the triangle has a height of 35, the area is 8.749 to the nearest hundredths, what is the area of the circle and the height of the triangle.

    • A.

      Height=25 and area=1024

    • B.

      Height=25 and area=1156PI

    • C.

      Height=25 area=5678

    • D.

      Height=25 and area=3215.36PI

    Correct Answer
    D. Height=25 and area=3215.36PI
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