Question

Correct answer only please!

What is the volume?

___ cubic feet

Answer 1

715 cubic feet

Explanation:

It's a prism.

The formula of a volume of a prism:

`V=BH`

B - area of a base

H - height

In the base we have the triangle.

The formula of an area of a triangle:

`A=(bh)/(2)`

b - base

h - height

We have b = 10 ft, h = 13 ft, H = 11 ft.

Substitute:

Area of a base:

`B=((10)(13))/(2)=(130)/(2)=65\ ft^2`

Volume:

`V=(65)(11)=715\ ft^3`

Answer 2

715 ft^3

Explanation:

The volume of a prism is the area of the base multiplied by the height of the prism.

The base of this prism is a triangle with base 10 ft and altitude 13 ft.

The height of the prism is 11 ft.

area of triangle = A = ba/2

volume of prism = Ah

area of base = area of triangle = A = ba/2 = 10 ft * 13 ft / 2 = 65 ft^2

volume of prism = Ah = 65 ft^2 * 11 ft = 715 ft^3