Question

What is the volume of the composite figure?

Answer 1

We are asked to solve for the volume of the composite figures and the answer is the summation of the two volumes such as the volume of a triangular prism and volume of a rectangular prism. In order to solve this, we need to recall the following formulas:
the volume of triangular prism = 1/2* b*h*l  and solving the volume, we have it:
the volume of triangular prism = 1/2 * 15* 16*20 = 3600 units³
the volume of rectangular prism = l*w*h  and solving the volume, we have it:
the volume of rectangular prism = 20*15*12 = 2400 units³

The total volume of the composite figure is the summation of the two volumes such as:
total volume = 3600 + 2400
total volume = 6000 units²

The answer is 6,000 units².

Answer 2

Answer-

The volume of the composite figure is 6000 unit³

Solution-

The composite figure consists of two figures. i.e right rectangular prism and triangular prism.

So,

$V_{Total}=V_{\text{Right rectangular prism}}+V_{\text{Triangular prism}}$

Right rectangular prism-

It has a base of 15×12 dimension and height of 20, so

$V_{\text{Right rectangular prism}}=\text{Area of base}\times \text{Height}=15\times 12\times 20=3600\ unit^3$

Triangular prism

Its base is a triangle with base length as 15, base height as 16 and height of 20, so

$V_{\text{Triangular prism}}=\text{Area of base}\times \text{Height}=\dfrac{1}{2}\times 15\times 16\times 20=2400\ unit^3$

Therefore, $V_{Total}=3600+2400=6000\ unit^3$