Question

Find the volume and solve the application.

A mason is putting in the foundation for a wall. His assistant digs a trench in roughly the shape of a rectangular solid measuring 50 ft. in length, 12 inches deep along both sides, and 12 inches wide at the top and bottom. How many cubic feet of earth did he remove (to the nearest tenth)?

_________ cubic feet.

Answer 1

V = LWH

V = 50 * 1 * 1

Answer 2

The volume of cuboid is 50 ft³, therefore he remove 50 ft³.

Explanation:

The shape of foundation is a cuboid.

The length is 50 ft, width is 12 inches and depth is 12 inches.

We know that

1 ft = 12 inches

So, the width is 1 ft and depth(height) is 1 ft.

The volume of a cuboid is

`V=l* b * h`

`V=50* 1* 1`

`V=50`

Since the volume of cuboid is 50 ft³, therefore he remove 50 ft³.