Question

prove that if a number is tripled, then it's cube is 27 times the cube of the given number​

Answer 1

Answer:

$\tt \: \underline{To \: Prove} :$

If a number is tripled, then it's cube is 27 times the cube of the given number

$\tt \underline{Proof}:$

$\tt \: Let \: the \: number \: be \: a \\ \\ \tt \: \longrightarrow Its \: volume = {a}^{3} \\ \\ \tt \longrightarrow New \: number = 3a \\ \\ \tt \: \longrightarrow New \: volume = {3a}^{3} = 27 {a}^{3} \\ \\ \implies \: \tt \frac{New \: volume}{Original \: volume} = \frac{27 {a}^{3} }{ {a}^{3 } } = 27 \\ \\ \tt So,a \: number \: is \: tripled \: , then \\ \tt it's \: cube \: is \: 27 \: times \: the \: \\ \tt cube \: of \: the \: given \: number$