Area And Net Quiz

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| By Mrsmosher

Mrsmosher

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Quizzes Created: 16 | Total Attempts: 21,606

| Attempts: 134

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1/10 Questions
- 345 sq. yd
- 540 sq. yd
- 270 sq. yd
- 435 sq. yd

About This Quiz

This 'Area and Net Quiz' assesses knowledge in geometry, specifically using the Pythagorean theorem and identifying geometric nets. It tests understanding of basic geometric principles and shapes, suitable for learners enhancing their mathematical skills.

2.

Use the pythagorean theorem to find the missing side: a = 3 b = 4 c = ?
- 7
- 5
- 25
- 12
- 10
Correct Answer

A. 5

Explanation

The Pythagorean theorem states that in a right triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides. In this case, side a is 3 and side b is 4. To find the missing side c, we can use the formula c^2 = a^2 + b^2. Plugging in the values, we get c^2 = 3^2 + 4^2, which simplifies to c^2 = 9 + 16. Adding 9 and 16 gives us 25, so c^2 = 25. Taking the square root of both sides, we find that c = 5.

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3.

Use the pythagorean theorem to find the missing side: a = ? b = 8 c = 10
- 6
- 80
- 18
- 9
- 164
Correct Answer

A. 6

Explanation

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the other two sides (a and b). In this case, we are given the lengths of sides b and c, and we need to find the length of side a. Using the formula, we can substitute the given values and solve for a. Plugging in b = 8 and c = 10, we get a = √(c^2 - b^2) = √(10^2 - 8^2) = √(100 - 64) = √36 = 6. Therefore, the missing side a has a length of 6.

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1
4.

Give the name of the net above
- Triangular pyramid
- Square pyramid
- Square prism
- Triangular prism
Correct Answer

A. Square pyramid

Explanation

The net above is a square pyramid because it has a square base and triangular faces that meet at a single vertex. The other options can be ruled out because they do not have the same shape and structure as the given net.

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5.

Give the name of the net above:
- Triangular pyramid
- Triangular prism
- Square pyramid
- Square prism
Correct Answer

A. Triangular prism

Explanation

The net shown in the question is a triangular prism. A prism is a three-dimensional shape with two congruent polygonal bases and rectangular faces connecting the corresponding vertices of the bases. In this case, the bases are triangles, and the connecting faces are rectangles. Therefore, the correct answer is a triangular prism.

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0
6.

Which of the above ARE nets?
- A
- B
- C
- D
Correct Answer(s)

A. C
A. D
7.

Give the name of the net above:
- Cone
- Cylinder
Correct Answer

A. Cone

Explanation

The net above is a cone. A cone is a three-dimensional geometric shape with a circular base that tapers to a point called the apex. In the given options, the shape resembles a cone as it has a circular base and tapers towards the top. Therefore, the correct answer is cone.

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8.

Find the area of the shaded region of both squares:
- 75 mm
- 125 mm
- 250 mm
- 200 mm
Correct Answer

A. 200 mm

Explanation

The area of the shaded region can be found by subtracting the area of the smaller square from the area of the larger square. The larger square has sides of 250 mm, so its area is 250 mm * 250 mm = 62500 mm^2. The smaller square has sides of 125 mm, so its area is 125 mm * 125 mm = 15625 mm^2. Subtracting the area of the smaller square from the area of the larger square gives us 62500 mm^2 - 15625 mm^2 = 46875 mm^2. Therefore, the area of the shaded region is 46875 mm^2, which is equal to 200 mm.

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9.

Find the area of the shape above:
- 2206.5 m
- 4326 m
- 856.5 m
- 1853.25 m
Correct Answer

A. 2206.5 m
10.

Find the area of the shaded region
- 133.96 cm
- 47.41 cm
- 393.59 cm
- 177.23 cm
Correct Answer

A. 47.41 cm