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Question 165 ptsThe surface area of a cube is 96 square feet. Find the volume of the cube.64 ft3O 16 ft3O 4 A3256 73

Question 165 ptsThe surface area of a cube is 96 square feet. Find the volume of the-example-1
User Bermo
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1 Answer

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21 votes

The surface area of the cube is given as 96 square feet.

The expression for the surface area of the cube is 6a²

So,

96 = 6a²

a² = 96/6

a² = 16

a = +4, -4

Since, measurement of side cannot be neagative, so a = 4

a = 4ft

Now, the expression for the volume of cube = a³

a³ = 4³

a³ = 64

Volume of the cube = 64ft³

Answer : A) 64ft³

User Raja Sattiraju
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