Question

A contractor is excavating a ramp into a trench for a construction project. How much dirt will the crew have to remove? To answer, find the volume of the triangular prism in the figure shown.

A. 192 ft.3
B. 96 ft.3
C. 120 ft.3
D. 144 ft.3

Answer 1

Answer: Option B. 96 ft^3

Solution:

Volume of the prism: V=?

V= A * H

Height of the prism: H=4 ft

Area of the base (triangle) : A=b*h/2

Base of the triangle: b=6 ft

Height of the triangle: h=8 ft

A=(6 ft)*(8 ft)/2

A=48 ft^2/2

A=24 ft^2

V=A*H

V=(24 ft^2)*(4 ft)

V=96 ft^3