Question

What is the volume of the composite figure?

1,200 units3
4,400 units3
5,040 units3
6,000 units3

Answer 1

D. 6,00 units3

Explanation:

Edge 2020-21

Answer 2

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}* \text{Height}=15* 12* 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}* \text{Height}=(1)/(2)* 15* 16* 20=2400\ unit^3`

Therefore,
`V_(Total)=3600+2400=6000\ unit^3`