Question

If the length of each diagonal of cube is doubled, then its volume becomes _____ times

Answer 1

Answer:

if the length of each diagonal of cube is doubled then it's volume becomes two times

Answer 2

If the length of each diagonal of cube is doubled, then its volume becomes 8  times

Step-by-step explanation:

we know that  the volume of cube in terms of diagonal  is

$V = \sqrt{3}\frac{d^3}{9}$

if the  length of each diagonal of cube is doubled

then d = 2d

therefore

volume becomes

$V = \sqrt{3}\frac{2d^3}{9}\\\\V = 8 \times \sqrt{3}\frac{d^3}{9}$

hence , If the length of each diagonal of cube is doubled, then its volume becomes 8  times

#Learn more:

Find the length of each cube of each edge of a cube is a units then the diagonal of the cube is

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