BMST Geometric Area and Volume 5

Question 1

A circular pizza has a diameter of 16 inches. What is the area of the entire pizza? (Use π ≈ 3.14)

Accepted Answer

200.96 square inches

Answer

Radius = 8 inches; Area = π × r² = 3.14 × 64 = 200.96 square inches.

Question 2

A storage unit is shaped like a rectangular prism with dimensions 8 ft × 6 ft × 5 ft. What is its volume?

Accepted Answer

240 cubic feet

Answer

Volume = length × width × height = 8 × 6 × 5 = 240 cubic feet.

Question 3

If you double the radius of a circle, the area becomes how many times larger?

Accepted Answer

4 times larger

Answer

Area = πr²; doubling r gives π(2r)² = 4πr², so the area is 4 times larger.

Question 4

A semicircle has a diameter of 20 cm. What is the area of the semicircle? (Use π ≈ 3.14)

Accepted Answer

157 square cm

Answer

Radius = 10 cm; Semicircle area = ½ × π × r² = ½ × 3.14 × 100 = 157 square cm.

Question 5

A rectangular garden plot is 18 feet long. If its area is 216 square feet, what is its width?

Accepted Answer

12 feet

Answer

Width = Area ÷ Length = 216 ÷ 18 = 12 feet.

BMST - Basic Math and Science Test Practice Test