Question

1. The side of a cube measures 3 cm. What will
be the volume and surface area of the cube?​

Answer 1

Given :

• Side of a cube is 3 cm.

To find :

• Volume of a cube.
• Surface area of a cube.

Formula used :

$\bullet \: \: \sf{Volume \: of \: a \: cube \: = \sf \red{ {a}^{3}} } \\ \bullet \: \: \sf{Surface \: area \: of \: a \: cube = \sf \red{6 {a}^{2} }}$

According to the question,

$\sf \red{Volume \: of \: a \: cube = {a}^{3} } \\ \implies \sf{ {(3 \: cm)}^{3} } \\ \implies \sf \purple{ {27 \: cm}^{3} } \\ \\ \sf \red{Surface \: area \: of \: a \: cube = 6 {a}^{2} } \\ \implies \sf{6 \times {3 \: cm}^{2}} \\ \implies \sf{6 \times 9 \: {cm}^{2} } \\ \implies \sf \purple{54 {cm}^{2} }$

Answer 2

Given ,

The side of cube (a) = 3 cm

We know that , the volume of cube is given by

$\large \boxed{ \sf{Volume = {(a)}^{3} }}$

Thus ,

Volume = (3)³

Volume = 81 cm³

$\sf \therefore \underline{The \: volume \: of \: cube \: is \: 81 \: {cm}^{3} }$

Now , the total surface area of cube is given by

$\large\boxed{ \sf{TSA \: of \: cube= 6{(a) }^{2}}}$

Thus ,

TSA = 6 × (3)²

TSA = 6 × 9

TSA = 54 cm²

$\sf \therefore \underline{The \: total \: surface \: are a \: of \: cube \: is \: 54 \: {m}^{2} }$