Question

Mark wants to build a ramp in the shape of a triangular prism out of solid wood. The ramp is drawn below with its dimensions.

Based on the dimensions given in the picture, how many cubic feet of wood does Mark need to construct the ramp?

A. 4500 ft^3
B. 6000 ft^3
C. 3000 ft^3
D. 2250 ft^3

Answer 1

2,250 ft³ wood need to construct the ramp.

Explanation:

Given:

Length of ramp = 20 ft

Base of ramp = 15 ft

Height of ramp = 15 ft

Given figure is a right triangular prism.

Find:

Volume of right triangular prism = ?

Computation:

`Volume\ of\ right\ triangular\ prism = (1)/(2)(base)(heght)(length)\\\\ Volume\ of\ right\ triangular\ prism = (1)/(2)(15)(15)(20)\\\\Volume\ of\ right\ triangular\ prism = 2,250\ ft^3\\\\`

Therefore, 2,250 ft³ wood need to construct the ramp.