Surface Area and Volume Quiz

Surface Area and Volume Quiz

8th Grade

15 Qs

quiz-placeholder

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Surface Area and Volume Quiz

Surface Area and Volume Quiz

Assessment

Quiz

Mathematics

8th Grade

Practice Problem

Hard

Created by

Heidi Hull

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15 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the surface area of a square-based pyramid with a base side length of 4 cm and a slant height of 6 cm?

48 cm²

64 cm²

80 cm²

96 cm²

Answer explanation

The surface area of a square-based pyramid is given by SA = base area + lateral area. Base area = 4 cm * 4 cm = 16 cm². Lateral area = 2 * base side * slant height = 2 * 4 cm * 6 cm = 48 cm². Total SA = 16 cm² + 48 cm² = 64 cm².

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

47.1 cm³

94.2 cm³

141.3 cm³

188.4 cm³

Answer explanation

To find the volume of the cone, use the formula V = (1/3)πr²h. Plugging in r = 3 cm and h = 5 cm gives V = (1/3)π(3)²(5) = 15π cm³, which is approximately 47.1 cm³. Thus, the correct answer is 47.1 cm³.

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A square-based pyramid has a base area of 16 cm² and a height of 9 cm. What is its volume?

48 cm³

72 cm³

96 cm³

120 cm³

Answer explanation

The volume V of a pyramid is given by V = (1/3) * base area * height. Here, base area = 16 cm² and height = 9 cm. Thus, V = (1/3) * 16 * 9 = 48 cm³. Therefore, the correct answer is 48 cm³.

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If the surface area of a square-based pyramid is 150 cm² and the base side length is 5 cm, what is the slant height?

8 cm

10 cm

12 cm

14 cm

Answer explanation

The surface area of a pyramid is given by SA = base area + lateral area. The base area is 25 cm² (5 cm x 5 cm). Thus, lateral area = 150 cm² - 25 cm² = 125 cm². The lateral area of a pyramid is 1/2 * perimeter * slant height. Here, perimeter = 20 cm, so 125 = 10 * slant height, giving slant height = 10 cm.

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the volume of a cone with a radius of 5 cm and a height of 6 cm?

157 cm³

157.1 cm³

157.2 cm³

157.3 cm³

Answer explanation

The volume of a cone is calculated using the formula V = (1/3)πr²h. Substituting r = 5 cm and h = 6 cm gives V ≈ 157.1 cm³, making 157.1 cm³ the correct answer.

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Determine the surface area of a square-based pyramid with a base side length of 10 cm and a slant height of 15 cm.

250 cm²

300 cm²

350 cm²

400 cm²

Answer explanation

The surface area of a square-based pyramid is given by SA = base area + lateral area. Base area = 10 cm * 10 cm = 100 cm². Lateral area = 1/2 * perimeter * slant height = 1/2 * 40 cm * 15 cm = 300 cm². Total SA = 100 cm² + 300 cm² = 400 cm².

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A cone has a radius of 7 cm and a height of 10 cm. Calculate its volume.

153.9 cm³

307.8 cm³

461.7 cm³

615.6 cm³

Answer explanation

The volume of a cone is calculated using the formula V = (1/3)πr²h. Substituting r = 7 cm and h = 10 cm gives V = (1/3)π(7²)(10) ≈ 307.8 cm³, making 307.8 cm³ the correct answer.

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