Question

The volume of a cube is 512 cm^3. Find the length of its diagonal.

Answer 1

Answer:

volume of cube =512 cm^3

length of diagonal =l=?

V(cube)=l^3

512=l^3

l=8 cm

length of diagonal is 8cm

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Answer 2

Step-by-step explanation:

Given:- volume of cube = 512 cm^3

diagonal of cube = ?

let ,the side of cube = a

since, volume of cube = a^3

512 = a^3

a = 3√512.

a = 3√2^9

a = 2^3

a = 8 cm

therefore, diagonal = √3a

diagonal = √3 × 8

diagonal = 8√3 cm