Question

A cube has a volume of 64 cube inches.if you double the length of each edge,what will be the volume of the new cube?

Answer 1

512 in³

Explanation:

the volume (V) of a cube is calculated as

V = s³ ( s is the side length )

given V = 64 in³ , then

s³ = 64 ( take cube root of both sides )

s =
`\sqrt[3]{64}` = 4

doubling s gives s = 2 × 4 = 8 , then

volume of new cube = 8³ = 512 in³

Answer 2

❒ Question -:

A cube has a volume of 64 inches³.If you double the length of each edge, what will be the volume of the new cube?

❒ Explanation -:

`\small \underline {\underline{\rm{ First \: we \: will \: calculate \: the \: length \: of \: the \: cube \: using \: the \: volume.}}}`

We know,

`\bull \: \small\boxed{ \rm{ Volume_((cube)) = side³ }}`

So,

`\bull \: \small \boxed{\rm{ side = \sqrt[3]{volume} }}`

Substituting the values we get

`\small\rm{side = \sqrt[3]{64} = 4 \: inches}`

`\small{ \underline{ \underline{\rm{ Now \: we \: will \: calculate \: the \: new \: volume}}}}`

It is given that the length is double

Double of 4 inches = 4 × 2 = 8 inches.

`\small\sf{ New \: volume = 8³ = 8 × 8 × 8 = 512 \: inches³}`

• Hence the new volume of the cube is 512 inches³.