Bluebook SAT Test Area and Volume 11

Question 1

A square pyramid has a base side of 6 m and height of 8 m. What is its volume?

Accepted Answer

96 m³

Answer

V = (1/3) × base area × h = (1/3)(36)(8) = 96 m³.

Question 2

A circle has area 36π. What is the circumference of the circle?

Accepted Answer

12π

Answer

Area = πr² = 36π → r = 6; circumference = 2πr = 12π.

Question 3

A 4 cm × 9 cm rectangle is cut in half diagonally. What is the area of each triangle formed?

Accepted Answer

18 cm²

Answer

Rectangle area = 36 cm²; each triangle = 36/2 = 18 cm².

Question 4

A sphere and a cube have the same volume. The cube has side length 6. What is the approximate radius of the sphere? (Use π ≈ 3.14)

Accepted Answer

3.06

Answer

Cube volume = 216; (4/3)πr³ = 216 → r³ = 216/(4.19) ≈ 51.55 → r ≈ 3.06.

Question 5

An L-shaped region consists of a 6 × 6 square with a 2 × 4 rectangle removed from one corner. What is the area of the L-shape?

Accepted Answer

28

Answer

Area = 36 − (2 × 4) = 36 − 8 = 28.

Bluebook SAT Practice Test