Bluebook SAT Test Area and Volume 8

Question 1

A circular pool has radius 5 m. How much fencing (circumference) is needed? (Use π ≈ 3.14)

Accepted Answer

31.4 m

Answer

C = 2πr = 2 × 3.14 × 5 = 31.4 m.

Question 2

A right rectangular prism has length 8, width 5, and height 4. What is the total surface area?

Accepted Answer

184

Answer

SA = 2(lw + lh + wh) = 2(40 + 32 + 20) = 2(92) = 184.

Question 3

A sector has central angle 90° and radius 8 cm. What is its area in terms of π?

Accepted Answer

16π cm²

Answer

Area = (90/360) × π(8²) = ¼ × 64π = 16π cm².

Question 4

A ring is formed by a circle of radius 4 m minus a circle of radius 2 m at its center. What is the ring's area in terms of π?

Accepted Answer

12π m²

Answer

Area = π(4²) − π(2²) = 16π − 4π = 12π m².

Question 5

A triangular prism has a cross-section with base 5 cm and height 6 cm, and is 12 cm long. What is its volume?

Accepted Answer

180 cm³

Answer

V = (½ × 5 × 6) × 12 = 15 × 12 = 180 cm³.

Bluebook SAT Practice Test