Respuesta :

mathstudent55

Answer:

715 ft^3

Step-by-step 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

gmany

Answer:

715 cubic feet

Step-by-step explanation:

It's a prism.

The formula of a volume of a prism:

[tex]V=BH[/tex]

B - area of a base

H - height

In the base we have the triangle.

The formula of an area of a triangle:

[tex]A=\dfrac{bh}{2}[/tex]

b - base

h - height

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

Substitute:

Area of a base:

[tex]B=\dfrac{(10)(13)}{2}=\dfrac{130}{2}=65\ ft^2[/tex]

Volume:

[tex]V=(65)(11)=715\ ft^3[/tex]

Ver imagen gmany

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