Question

Which equation can be used to find the volume of this solid 7in 11in 9in

Answer 1

The volume of the solid is either 346.5 in³ or 693 in³.

Explanation:

The solid can either be a triangular prism or a rectangular cube.

• Consider the solid as a triangular prism.

The volume of a triangular prism is:

`V=((B* H)/(2))* L`

Here,

B = base

H = height

L = length

Let,

B = 7 in

H = 9 in

L = 11 in

Compute the volume of a triangular prism as follows:

`V=((B* H)/(2))* L`

`=((7* 9)/(2))*11\\\\=346.5\ \text{in}^(3)`

Thus, the volume of a triangular prism is 346.5 in³.

• Consider the solid as a rectangular cube.

The volume of a rectangular cube is:

`V=L* B* H`

The values of L, B and H remains the same as above.

Compute the volume of a rectangular cube as follows:

`V=L* B* H`

`=11* 7* 9\\=693\ \text{in}^(3)`

Thus, the volume of a rectangular cube is 693 in³.