A rectangular prism has a volume of 300 ft^3. If the base measures 5 ft by 8 ft, what is the height of the prism?

Respuesta :

Answer:

The height of the prism is [tex]7.5\ ft[/tex]

Step-by-step explanation:

we know that

The volume of the prism is equal to

[tex]V=BH[/tex]

where

B is the area of the base of prism

H is the height of the prism

Find the area of the base B

[tex]B=(5)(8)=40\ ft^{2}[/tex]

we have

[tex]V=300\ ft^{3}[/tex]

substitute in the formula and solve for H

[tex]300=40(H)[/tex]

[tex]H=300/40[/tex]

[tex]H=7.5\ ft[/tex]

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