1.3k views
0 votes
What is the volume of the composite figure?

A. 140 cubic inches

B. 147 cubic inches

C. 168 cubic inches

D. 196 cubic inches



What is the volume of the composite figure? A. 140 cubic inches B. 147 cubic inches-example-1
User YTKColumba
by
6.2k points

2 Answers

2 votes

Answer:

140 cubic inches

Explanation:

User Ben Hall
by
7.1k points
7 votes

Answer:

A. 140 cubic inches

Explanation:

The total volume is the volume of the rectangular prism at the bottom plus the volume of the pyramid on top.

The volume of the prism is width times length times height.

V = wlh

V = (3)(7)(4)

V = 84

The volume of the pyramid is one third the area of the base times the height.

V = ⅓ Ah

The base of the pyramid is a rectangle. Its area is the width times length. The height of the pyramid is the total height minus the height of the prism.

V = ⅓ (3)(7)(12−4)

V = 56

So the total volume is:

V = 84 + 56

V = 140

User James Pogran
by
7.0k points