Surface Area, Volume, Area Quiz
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I need to figure surface area for
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How much tissue will fit in a tissue box
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Wrapping a present
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Table cloth
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New necklace
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This quiz assesses skills in calculating surface areas and volumes of various geometric shapes such as prisms, cubes, pyramids, and cylinders. It is designed to enhance understanding of practical geometry applications, essential for academic growth in mathematics.
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- 2.
A rectangular prism has a length of 10 cm, a width of 5 cm, and a height of 3 cm. What is its surface area?
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90 cm²
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150 cm²
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160 cm²
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300 cm²
Correct Answer
A. 160 cm²Explanation
The surface area of a rectangular prism is calculated by finding the area of each face and adding them together.
Top and Bottom: 10 cm x 5 cm = 50 cm² each (50 cm² x 2 = 100 cm²)
Front and Back: 10 cm x 3 cm = 30 cm² each (30 cm² x 2 = 60 cm²)
Sides: 5 cm x 3 cm = 15 cm² each (15 cm² x 2 = 30 cm²)
Total surface area: 100 cm² + 60 cm² + 30 cm² = 160 cm²Rate this question:
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- 3.
A cube has a side length of 5 cm. What is the volume of the cube?
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15 cm³
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25 cm³
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125 cm³
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150 cm³
Correct Answer
A. 125 cm³Explanation
The volume of a cube is calculated by cubing the side length (side * side * side). In this case, 5 cm * 5 cm * 5 cm = 125 cm³.Rate this question:
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- 4.
Find the surface area of a pyramid with a square base length 10 and a slant height of 13.
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580 units squared
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480 units squared
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620 units squared
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360 units squared
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None of the above
Correct Answer
A. 360 units squared -
- 5.
A cylindrical water tank has a radius of 5 meters and a height of 10 meters. What is the volume of the tank?
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78.5 cubic meters
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157 cubic meters
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785 cubic meters
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1570 cubic meters
Correct Answer
A. 785 cubic metersExplanation
The volume of a cylinder is calculated using the formula:
Volume (V) = πr²h
where:
r is the radius of the base
h is the height of the cylinder
In this case, the radius (r) is 5 meters and the height (h) is 10 meters.
Therefore: V = π * 5² * 10 V ≈ 3.14 * 25 * 10 V ≈ 785 cubic metersRate this question:
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- 6.
What is the volume of a rectangular prism that is 1 cm. by 2 cm. by 3 cm.?
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6 cu. cm.
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6 sq. cm.
Correct Answer
A. 6 cu. cm.Explanation
The volume of a rectangular prism can be calculated by multiplying the length, width, and height of the prism. In this case, the length is 1 cm, the width is 2 cm, and the height is 3 cm. Multiplying these values together (1 cm x 2 cm x 3 cm) gives us a volume of 6 cubic centimeters.Rate this question:
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- 7.
If you enlarge a rectangular prism with dimensions of 1 cm. by 2 cm. by 3 cm. by a scale factor of 3, what will its new dimensions be?
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3 cm. by 6 cm. by 9 cm.
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3 cm. by 5 cm. by 6 cm.
Correct Answer
A. 3 cm. by 6 cm. by 9 cm.Explanation
When you enlarge a rectangular prism with dimensions of 1 cm by 2 cm by 3 cm by a scale factor of 3, each dimension is multiplied by the scale factor. Therefore, the new dimensions will be 1 cm x 3 = 3 cm, 2 cm x 3 = 6 cm, and 3 cm x 3 = 9 cm.Rate this question:
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- 8.
How many square feet of sand can fit into a sandbox that is 8 feet by 8 feet and 1 foot high?
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64 square feet
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17 square feet
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23 square feet
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45 square feet
Correct Answer
A. 64 square feetExplanation
To find the amount of sand that can fit into the sandbox, you need to calculate the volume of the sandbox.
The formula for volume is:
Volume = Length × Width × Height
Given:
Length = 8 feet
Width = 8 feet
Height = 1 foot
Volume = 8 × 8 × 1 = 64 cubic feet
Since the sandbox's height is 1 foot, the total amount of sand that can fit into it is 64 cubic feet.
Thus, the sandbox can hold 64 cubic feet of sand.Rate this question:
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- 9.
A sphere has a diameter of 12 cm. What is its surface area?
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144π cm²
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576π cm²
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288π cm²
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48π cm²
Correct Answer
A. 144π cm²Explanation
The surface area of a sphere is calculated using the formula:
Surface Area (SA) = 4πr²
where r is the radius of the sphere.
Since the diameter is 12 cm, the radius is 6 cm (diameter/2).
Therefore: SA = 4π * 6² SA = 4π * 36 SA = 144π cm²Rate this question:
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- 10.
Which rectangular prism has a larger surface area? Prism A: Dimensions are 5 by 4 by 2 Prism B: Dimensions are 6 by 3 by 2
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Prism A
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Prism B
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They have the same Surface Area
Correct Answer
A. Prism AExplanation
Prism A has a larger surface area because the formula for surface area of a rectangular prism is 2lw + 2lh + 2wh. By plugging in the dimensions of Prism A (5, 4, and 2), we get a surface area of 64. For Prism B, with dimensions 6, 3, and 2, the surface area is 52. Therefore, Prism A has a larger surface area.Rate this question:
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- 11.
Which rectangular prism has a larger volume? Prism A: Dimensions are 5 by 4 by 2 Prism B: Dimensions are 6 by 3 by 2
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Prism A
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Prism B
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They have the same volume.
Correct Answer
A. Prism AExplanation
Prism A has a larger volume because the product of its dimensions (5 x 4 x 2) is 40, while the product of Prism B's dimensions (6 x 3 x 2) is 36. Therefore, Prism A has a greater volume than Prism B.Rate this question:
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- 12.
What is the surface area of the rectangular prism?
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358
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420
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179
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210
Correct Answer
A. 358 -
- 13.
What is the Volume of the prism below:
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358
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420
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179
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210
Correct Answer
A. 420 -
- 14.
What is the surface area of the pyramid below?
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216
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648
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225
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324
Correct Answer
A. 225Explanation
The correct answer is 225. The surface area of a pyramid is calculated by finding the sum of the areas of all its faces. In this case, since the question does not provide any measurements or dimensions for the pyramid, it is not possible to calculate the exact surface area. Therefore, the explanation for the given answer cannot be determined.Rate this question:
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- 15.
What is the volume of the pyramid below?
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112
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116.48
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74.24
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37.33
Correct Answer
A. 37.33Explanation
The volume of a pyramid is calculated by multiplying the area of the base by the height and dividing the result by 3. Since the question does not provide the dimensions of the pyramid, it is not possible to calculate the volume. Therefore, an explanation for the given correct answer is not available.Rate this question:
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- 16.
What is the surface area of the cyliner?
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96
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1005.31
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2412.74
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804.25
Correct Answer
A. 1005.31 -
- 17.
What is the volume of the cylinder below?
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96
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1005.31
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2412.74
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804.25
Correct Answer
A. 2412.74Explanation
The volume of a cylinder is calculated by multiplying the area of the base by the height. In this case, the volume is 2412.74.Rate this question:
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- 18.
What is the surface area of the cone below?
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3446.4
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703.72
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742.42
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1340.41
Correct Answer
A. 742.42 -
- 19.
What is the volume of the cone below?
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3446.4
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703.72
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742.42
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1340.21
Correct Answer
A. 1340.21 -
- 20.
A rectangular prism has a volume of 120. Which dimensions can be the correct ones?
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8*3*8
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5*2*6
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8*3*5
Correct Answer
A. 8*3*5Explanation
What of this formulas could give you the volume?? (Think about this.)
Multiply the numbers and chck which one will give you 120.Rate this question:
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- 21.
To find the radius of a cylinder you should measure the diameter and divide by 2 ?
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True
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False
Correct Answer
A. TrueExplanation
To find the radius of a cylinder, you need to measure the diameter and then divide it by 2. This is because the diameter is the distance across the widest part of the circle, while the radius is the distance from the center of the circle to any point on its edge. By dividing the diameter by 2, you can determine the radius of the cylinder accurately. Therefore, the statement is true.Rate this question:
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Quiz Review Timeline (Updated): Jan 6, 2025 +
Our quizzes are rigorously reviewed, monitored and continuously updated by our expert board to maintain accuracy, relevance, and timeliness.
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Current Version
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Jan 06, 2025Quiz Edited by
ProProfs Editorial Team -
Mar 13, 2013Quiz Created by
Mrsmosher
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