Question

The length of a diagonal of a cube is 4root3 find volume

Answer 1

Answer:

332.55 units cude.

Step-by-step explanation:

We know that diagonal of a square is equal to its side length.

4✓3 × 4✓3 × 4✓3 = 192✓3 = 332.55

hope it will help you

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Answer 2

Step-by-step explanation:

let the length of all edges of cube be 'p'.

By Pythagoras' theorem,

sum of square root of any to edges of cube = square of diagonal.

therefore,

p^2+p^2= (4√3)^2 Rough Work

2p^2= 16×3 for (1),

2p^2= 48 √6×4

p^2=48/2 =√24

p^2= 24

p=√24

p= 2√6 unit ...... (1)

Edge = 2√6

Volume of cube = (2√6)^3

=( 8×6×√6)^3

= 48√6 unit ^3