Question

Find the volume of the figure.
2.25 m
4
m
2.5 m
no

Answer 1

Given:

Given that the figure is a triangular prism.

The length of the prism is 4 m.

The base of the triangle is 2.5 m.

The height of the triangle is 2.25 m.

We need to determine the volume of the triangular prism.

Volume of the triangular prism:

The volume of the triangular prism can be determined using the formula,

`V=(1)/(2)bhl`

where b is the base of the triangle,

h is the height of the triangle and

l is the length of the prism.

Substituting b = 2.5, h = 2.25 and l = 4 in the above formula, we get;

`V=(1)/(2)(2.5)(2.25)(4)`

`V=(1)/(2)(22.5)`

`V=11.25 \ m^3`

Thus, the volume of the triangular prism is 11.25 m³