the surface area of a cube is 64cm² find the volume of cube
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Answered by
1
Answer:
34.82
Explanation:
Assuming the total surface area of a cube is 64 cm^2
Total surface area of a cube = 6L^2 sq.units(formula)
6L^2 = 64
L^2= 64/6
L^2 = 32/3
L= √32/√3 cm ( taking sq.root on both sides)
Volume of cube = l^3 cubic units
= [√32/√3] ^ 3
= (32 x √32)/(3x√3)
=( 32x√32 x √3)/( 3x √3x √3) ( rationalising the denominator)
(32 x √16 x√2 x√3)/(3x3)
(32 x 4 x√6)/9
(128 x √6)/9
(128)*√6/9
128/9 = 14.22
√6 = 2.449
14.22 x 2.449
= 34.82 cm^3
Ans : Volume of cube is 34.82 cm^3
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Answer:
The volume of cube is 34.82 cm^2.
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