Question

The surface area of a cube is 37 whole 1/2 metre square. Find the volume of cube.

Answer 1

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Answer 2

volume of cube = 15.625 m³

Step-by-step explanation:

surface area of the cube = $37\frac{1}{2}$ = $\frac{75}{2}$

surface area of the cube = 6a²

where a is the side of the cube

then according to ques

6a² =  $\frac{75}{2}$

a²= $\frac{75}{2\times 6}$

a² = 6.25

a= $\sqrt{6.25}$

a= 2.5 m

the side of the cube is 2.5 m

now,

volume of cube = a³

putting the value of a

volume of cube  = (2.5)³ = 15.625 m³

hence ,

volume of cube = 15.625 m³

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