Question

Prove that if a number is doubled, then its cube is 8 times the cube of the given number.

Answer 1

Step-by-step explanation:

Let x be a number.

Then, cube of the number = x³

If the number is doubled. Then,

∴ cube of the number = (2x)³ = 8x³

                                                = 8×cube of the number

I hope it helps you.

Answer 2

Answer:

let the no. be 6.

double of 6 is 12

let 6 be a & let 12 be the no. b.

b the whole cube ÷ a the whole cube= 12 the whole cube ÷ 6 the whole cube is 1728/216=8

(hence proved)

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