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The total area of a regular square prism is 72 ft and its altitude is 8ft find the volume of the prism.

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by logie

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by logie

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then square prism is equal to area of the base x heigth

so

the lateral area of the square prism formula is

area of the lower and upper base plus the area of rectangle sides or

s for square

r for rectangle

2As + 4Ar = 72

from this equation you will get the side of the square base

just use the formula of area each

let x the side of the square base

2x^2 + 4(8)x = 72

solving for ex using quadratic formula

2x^2 + 32x -72 = 0

x =

x = -18 not this value because negative

so you have now side

then use the volume formula for square prism

V = As h

V = 2^2 (8)

hope this helps happy valentines day!!!