Bluebook SAT Test Area and Volume 4

Question 1

A cone and a cylinder share the same radius and height. What is the ratio of the cone's volume to the cylinder's volume?

Accepted Answer

1:3

Answer

Vcone = ⅓πr²h and Vcylinder = πr²h, so the ratio is ⅓:1 = 1:3.

Question 2

A parallelogram has base 11 m and height 6 m. What is its area?

Accepted Answer

66 m²

Answer

Area = base × height = 11 × 6 = 66 m².

Question 3

A rectangular pool is 25 m × 10 m × 2 m deep. How many liters of water does it hold? (1 m³ = 1,000 L)

Accepted Answer

500,000 L

Answer

Volume = 25 × 10 × 2 = 500 m³; 500 × 1,000 = 500,000 L.

Question 4

A circular garden has radius 7 m. What is the area? (Use π ≈ 22/7)

Accepted Answer

154 m²

Answer

A = πr² = (22/7) × 49 = 22 × 7 = 154 m².

Question 5

The surface area of a cube is 150 cm². What is the side length?

Accepted Answer

5 cm

Answer

6s² = 150 → s² = 25 → s = 5 cm.

Bluebook SAT Practice Test