High School

Find the volume of the composite solid below.

A. 112.57 in3

B. 87.43 in3

C. 128.06 in3

D. 106.28 in3

Find the volume of the composite solid below A 112 57 in3 B 87 43 in3 C 128 06 in3 D 106 28 in3

Answer :

The volume of the composite solid is calculated as approximately: 112.57 in³ (option A).

How to find the volume?

The volume of the composite solid = volume of square prism + volume of cylinder.

Volume of square prism (V) = a²h, where:

Base edge = 5 in.

height (h) = 4 in.

Volume of square prism (V) = 5² * 4

V = 100 in.³

Volume of cylinder (V) = πr²h, where:

r is the radius = 2 in.

h is the height = 1 in.

Volume of cylinder (V) = π * 2² * 1 ≈ 12.57 in.³

Volume of the composite solid = 100 + 12.57

V = 112.57 in³ (option A).