Question

find the volume of a cube whose surface area is 150 m. square.​

Answer 1

Answer:

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TSA of cube = 150m^2

=> 6a^2 = 150

=> a^2 = 150/6 , =>a^2 =25

=> a = 5

We know, volume of cube =a^3

=>5×5×5

=> 125 m^3

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Answer 2

Answer : 125m³

Step by step explanation :

"Volume of cube" can be determined by the formula v=a³

As we have to find the volume of the cube, we need to know the length, breadth and width of the cube and thus, by multiplying all the three components we can find out the volume of the cube.

Here,

Let each side of the cube be 'x'

Given :

Surface area of cube = 150 m²

We know that,

Surface area of cube = 6a²

6x² = 150

x² = 25

x = 5

Now,

Volume of cube = (x)³

= (5)³ = 125m³

Therefore, volume of cube whose surface area is 150 m square is 125 m³