Question

the perimeter of one face of a cube is 40m find the volume of the circle
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Answer 1

Correct Question ⤵

The perimeter of one face of a cube is 40m. Find it's volume ?

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Given ⤵

Perimeter of one face of a cube is 40m.

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To Find ⤵

Volume ?

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Solution ⤵

$\Rightarrow$ Each face of a cube is of the shape of a square.

$\Rightarrow$ Let the side of the cube

=> 'a' cm

$\Rightarrow$ Perimeter of the square side

$\Rightarrow$ 4a = 40cm

$\Rightarrow$ a = $\frac{40}{4}$ = 10 cm

$\Rightarrow$ Volume of a cube of edge = ${a}^{3}$

So, the volume of the cube of edge a=10 cm is ${10}^{3}$

$\Rightarrow$ ${1000cm}^{3}$

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Answer 2

Question ⤵️

The perimeter of one face of a cube is 40m. Find the volume of the cube.

Solution ⤵️

Given ⤵️

$\sf{Perimeter \:of one \:face \:of \:cube = 40 m}$

To Find ⤵️

$\sf{Volume \:of \:the \:cube = ?}$

Calculation ⤵️

$\sf\Rightarrow Each\: face\: of\: a \:cube\: is\: of\: the\: shape\: of \:a\: square.$

$\sf\Rightarrow Let\: the\: side\: of\: cube\: be\: 'a'\: cm.$

$\sf\Rightarrow Perimeter\: of\: the\: square\: side.$

$\sf\Rightarrow 4a = 40\: cm$

$\sf{a = \frac{ \cancel{40}}{ \cancel4} = 10\:cm}$

$\sf\Rightarrow \sf \: volume \: of \: cube \: of \: edge \: a = {a}^{3}$

$\sf\Rightarrow volume \: of \: cube \: of \: edge \: {a}^{3} = 1000\: {cm}^3$

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