Question

7th grade math problem! Please help!

Answer 1

Volume of the hexagonal prism = 1732.7772 ft³

Solution:

Height of the prism (H) = 15.4 ft

Side of the hexagon base (b) = 6.58 ft

Height from center to the side length (h) = 5.7 ft.

Let us first find the area of the base.

Area of the base (B) =
`6*(1)/(2)\ bh`

`$=6*(1)/(2)* 6.58 * 5.7`

Area of the base (B) = 112.518 ft²

To find the volume of the hexagonal prism:

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

= 112.518 × 15.4

= 1732.7772 ft³

The volume of the hexagonal prism is about 1732.7772 ft³.