Question

Ques: Area of one face of a cube is 64 sq cm. What is its volume?
512 cubic cm
64 cubic cm
256 cubic cm
192 cubic cm
with full explanation​

Answer 1

TSA of a cube = 64 sq cm. Area of each face of the cube = (64/6) = 10.666666666 sq cm. Each edge of the cube = 10.666666666^0.5 = 3.265986324 cm. Volume of the cube = 3.265986324^3 = 34.83718745 cc

2)

Cube has 6 square sides

so we know side of a square= √area

side =√64 = 8

now we know the side so we can calculate volume i.e

{s}^{3}

so

{8}^{3} = 512

512 is the answer

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