Question

The surface area of a cube is 294m². find the volume of the cube

Answer 1

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Surface area of cube = ${6a}^{2}$

a = edge of cube

294 = ${6a}^{2}$

$\frac{294}{6}$ = ${a}^{2}$

${a}^{2}$= 49

a= √49

a= 7

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

edge of cube(a) = 7m

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀

We know,

Volume of cube = ${a}^{3}$

⠀⠀⠀⠀⠀⠀ ⠀⠀⠀= ${7}^{3}$

⠀⠀⠀⠀⠀ ⠀⠀⠀⠀= ${343m}^{3}$

Therefore,the volume of given cube is ${343m}^{3}$

Answer 2

Step-by-step explanation:

A= surface area

Surface area = 294²

Using formula

A = 6a²

V = a³

Solve V

V =

$\sqrt{6} \times \frac{A \frac{3}{2} }{36} = \sqrt{6} \frac{294 \frac{3}{2} }{36} = 343m ^{3}$

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