143k views
15 votes
Find the volume of the composed figure.

Find the volume of the composed figure.-example-1

1 Answer

11 votes

Answer:

96 ft³

Explanation:

The front face can be considered as a 5×10 rectangle with a 3×6 rectangle cut from it. Then its area is ...

A = (5×10) -(3×6) = 32 . . . square feet

The volume of a prism of uniform cross section is ...

V = Bh . . . . . where B is the area of the base, and h is the height

Our figure has a base area of 32 square feet and a height of 3 feet, so its volume is ...

V = (32 ft²)(3 ft) = 96 ft³

User Tream
by
7.2k points