Bluebook SAT Test Area and Volume 5

Question 1

A right triangle has legs of 5 cm and 12 cm. What is its area?

Accepted Answer

30 cm²

Answer

Area = ½ × 5 × 12 = 30 cm².

Question 2

A sphere has a surface area of 36π cm². What is its radius?

Accepted Answer

3 cm

Answer

4πr² = 36π → r² = 9 → r = 3 cm.

Question 3

A storage shed is shaped like a rectangular prism: 4 m wide, 6 m long, 3 m tall. What is its volume?

Accepted Answer

72 m³

Answer

V = 4 × 6 × 3 = 72 m³.

Question 4

A circle's area is 100π. What is the circumference of the circle?

Accepted Answer

20π

Answer

πr² = 100π → r = 10; C = 2πr = 20π.

Question 5

A piece of land is 300 m × 150 m. What is the area in hectares? (1 hectare = 10,000 m²)

Accepted Answer

4.5 ha

Answer

Area = 300 × 150 = 45,000 m²; 45,000 ÷ 10,000 = 4.5 ha.

Bluebook SAT Practice Test