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:

$V_1=Length\times Width \times height$

$V_1=16\times 7 \times 3$

$V_1=336$

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

$B=\dfrac{1}{2}\times Base\times Height$

$B=\dfrac{1}{2}\times 3\times 5$

$B=7.5$

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.