Question

What is the answer? Please help. Urgent.

Answer 1

Given:

A figure that contains a right triangular prism and cuboid.

To find:

The volume of the figure.

Solution:

The dimensions of cuboid are 16 in, 7 in and 3 in.

So, the volume of the cuboid is:

`V_1=Length* Width * height`

`V_1=16* 7 * 3`

`V_1=336`

The base of the prism is a right angle with base 3 in and height 5 in, and the length of the prism is 6 in. So, the base are of the prism is

`B=(1)/(2)* Base* Height`

`B=(1)/(2)* 3* 5`

`B=7.5`

The volume of a prism is:

`V_2=Bh`

Where, B is the base area and h is the height of the prism.

`V_2=(7.5)(6)`

`V_2=45`

The volume of combined figure is:

`V=V_1+V_2`

`V=336+45`

`V=381`

Therefore, the volume of the figure is 381 cubic in.