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Find the height of the square prism if the volume is 1344 cubic meters and the base edge is 12 meters

Respuesta :

fluffycorgi81

Answer: 9.33 meters (9 1/3 meters)

Step-by-step explanation:

If the base edge is 12 m and the base is a square, square the edge length. (12*12=144). The volume of a prism is the area of the base times the height, so the height is the volume divided by the area of the base. Divide 1344 by the area of 144 (1344/144=9.33 or 9 1/3)

thedoritoamigo

Answer:

9.33 meters

Step-by-step explanation:

The formula to find the volume of a square prism is [tex]V=a^2h[/tex]. To solve for [tex]h[/tex], the formula becomes [tex]h=\frac{V}{a^2}[/tex].

Plug in the base edge and the volume.

[tex]h=\frac{1344}{12^2}[/tex]

[tex]\frac{1344}{12^2}[/tex] [tex]=[/tex] 9.33.

The height of the prism, then, is 9.33 meters.

I hope this helps ^^ Good luck :]

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