Bluebook SAT Test Area and Volume 7

Question 1

A triangular pyramid has a base area of 30 cm² and height 8 cm. What is its volume?

Accepted Answer

80 cm³

Answer

V = ⅓ × base area × height = ⅓ × 30 × 8 = 80 cm³.

Question 2

A rectangle has perimeter 40 cm and width 8 cm. What is its area?

Accepted Answer

96 cm²

Answer

2(l + 8) = 40 → l = 12 cm; Area = 12 × 8 = 96 cm².

Question 3

A circle has circumference 16π cm. What is its area?

Accepted Answer

64π cm²

Answer

C = 2πr = 16π → r = 8; Area = π(8²) = 64π cm².

Question 4

Two cubes have side lengths 3 cm and 6 cm. What is the ratio of their volumes?

Accepted Answer

1:8

Answer

Volumes: 27 cm³ and 216 cm³; ratio = 27:216 = 1:8.

Question 5

A cylinder has radius r and height 2r. Which expression gives its volume?

Accepted Answer

2πr³

Answer

V = πr²(2r) = 2πr³.

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