Question

Help please!! what is the volume of this composite solid

Answer 1

Explanation:

Given composite figure is made up of two solids.

Top part is a triangular prism and the bottom is a rectangular prism.

Volume of the composite solid = Volume of the triangular prism + Volume of the rectangular prism

Volume of the triangular prism = Area of the triangular base × Height of the prism

=
`(1)/(2)(\text{Base})(\text{Height}) * (\text{Height of the prism})`

=
`(1)/(2)(4* 6)* 10`

= 120 square m

Volume of the rectangular prism = Length × Width × Height

= 6 × 10 × 6

= 360 m²

Total volume of the composite solid = 120 + 360 = 480 m²

Option A is the answer.