Question

The lid of a jewelry box is in the shape of a triangular prism. The lid has a height of 12 inches. The triangular base of the lid has a base of 31 inches and a height of 4 inches.. What is the volume of the lid to the nearest tenth?

Answer 1

Volume of the lid is 740in³

Explanation:

Kindly find attached rough sketch of the lid

The volume of a triangular prism is expressed as

V= 1/2(a*c*h)

Where

a,is the height of triangular base = 4in

c, triangular base = 31in

h, height of the lid = 12in

Substituting our given data we have

V= 1/2(4*31*12)

V= 1488/2=744in³

To the nearest tenth is 740in³