Question

Find the side of a
a cube whose

total surface
e area is
numerically twice
cally twice its volume.

​

Answer 1

Question:

Find the side of a cube whose total surface area is numerically twice its volume.

Explanation:

Let the side be s

Total surface area of a cube = 6 × ( side )²

Volume of a cube = ( side )³

According to the Question

⟹ 6 × ( side )² = ( side )³

⟹ 6s² = s³

⟹ 6 = s³/s²

⟹ 6 = s

Side = s = 6

The side of the cube is 6 units.

More:

Note that we said "numerically equal" because unit of volume is unit³ whereas unit of surface area is unit², We can't compare quantities having different units, that's why we used the term "numerically equal" here