Question

the total surface area of a cube is 348 cm^2.find it's volume.​

Answer 1

SOLUTION:-

Given:

Total surface area of cube= 348cm².

We know that,total surface area of cube; =) 6a²

Therefore,

=) 6a² = 348

=) a² = 348/6

=) a² = 58

=) a= √58

=) a= 7.61cm

Now,

Volume of cube= a³ cubic unit.

=) a= 7.61

So,

=) (7.61)³

=) 440.71cm³

Hope it helps ☺️

Answer 2

Answer:

The volume of a cube is 440.71 cm³

Step-by-step explanation:

Given,

• Surface area of the cube = 348 cm²

The formula for the surface area of a cube is-

Surface area of cube = 6(side)²

where, surface area = 348 cm²

then,

348 cm² = 6(side)²

(side)² = 58

side = √58

side = 7.61 cm

Now, we have to find the volume of a cube.

Formula for volume for cube = (side)³

where, side = 7.61 cm

then,

volume = (7.61 cm)³

            = 440.71 cm³