Question

the surface area of a cube is 75/2 find the volume of the cube

Answer 1

hey bro here is ur answer
TSA of cube = 6×edge square
${6l}^{2} = 75 \div 2 = 37.5 \\ {l}^{2} = 37.5 \div 6 = 6.25 \\ l = \sqrt{6.25 } = 2.25 \\ vol \: of \: the \: cube \: = {edge}^{3} \\ = {2.25}^{3} = 15.625$

Answer 2

The Volume of cube is 15.625 cubic unit

Step-by-step explanation:

Let the side of cube be x

Surface area of cube =$6a^2$

Where a is the side

Surface area of cube =$6x^2$

We are given that the surface area of a cube is 75/2

$6a^2=\frac{75}{2}$

$a^2=\frac{75}{2 \times 6}$

$a=\sqrt{\frac{75}{2 \times 6}}$

a=2.5

Volume of cube = $Side^3 = 2.5^3 = 15.625 unit^3$

Hence The Volume of cube is 15.625 cubic unit

#Learn more:

The volume of a cube is 9261000m cube find the side of the cube

https://brainly.in/question/6167986