Question

find the total surface area of cube whose volume is 343 cm3​

Answer 1

1810Total surface are = 294 cm

2

.

Step-by-step explanation:

Let the length of a side of the given cube be 'l' cm.

Then, according to the given information, we have

\begin{gathered}\textup{Volume of the cube}=343\\\\\Rightarrow l^3=343\\\\\Rightarrow l^3=7^3\\\\\Rightarrow l=7.\end{gathered}

Volume of the cube=343

⇒l

3

=343

⇒l

3

=7

3

⇒l=7.

Therefore, the total surface are of the cube is given by

S.A.=6l^2=6\times7^2=6\times49=294.S.A.=6l

2

=6×7

2

=6×49=294.

Thus, the required surface area of the cube is 294 cm².