Question

0.47 A cube of edge 5cm is cut into cubes each of edge 1 cm. Find the ratio of the total
surface area of the one of small cubes to the large cube​

Answer 1

$\begin{lgathered}\bold{large \: cube \:Dimension} \begin{cases}\sf{side = 5cm} \\ \end{cases}\end{lgathered} </p><p> \\ \\ \\ \begin{lgathered}\bold{smaller \: cube \:Dimension} \begin{cases}\sf{side=1cm} \\ \end{cases}\end{lgathered}$

$\Large\bold\star\underline{\underline\textbf{Formula\:used}}$

• TSA of cube = 6×(side)²

$\large\star{\underline{\tt{\red{Answer}}}}\star$

$\textbf{TSA of Larger cube} \: = 6 \times {5}^{2} = 150 {cm}^{2} \\ \\ \textbf{TSA of smaller cube} = 6 \times {1}^{2} = 6 {cm}^{2} \\ \\ \\ \\ \textbf{Required Ratio} = 6:150 \: \\ \\ \pink{\large\boxed{\boxed{\bold{1:25}}}} \:$

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or we can say that, required Area Ratio will be square of both sides...

so,

we get,

$\green{\large\boxed{\boxed{\bold{1:25}}}}$

As our Required Answer .....

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$\large\underline\textbf{Hope it Helps You.}$