Question

2. The total surface area of a cube is 1350 sq.m. Find its volume.​

Answer 1

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Answer 2

Given:

Total surface area f a cube is 1350sq.m.

To Find:

Find its volume.

Solution:

We know the formula for the Total surface area of a cube is

                                     $TSA=6a^{2}$

                                  where,

                                             $a$= Side of the cube

Now using the formula to find the value of the side of the cube

$TSA=6a^{2} \\1350=6a^{2}\\a^{2}=225\\a=\sqrt{225} \\a=15m$

Now we know the value of the side i.e. 15m

Now finding the volume of the cube using the formula

                                      $V=a^{3}$

putting the value we get

$V=a^{3}\\=15^{3}\\=3375m^{3}$

Hence, the volume of the cube is 3375cu.m.