Question

Find the L.S.A, T.S.A and volume of a cube of side $5cm$.

Answer 1

Step $1$: Compute the L.S.A.

We know that for a cube of say side $a=5cm$, the lateral surface area is $4a^2$.

$$\begin{gathered} 4a^2=4{\left(5\right)}^2 \\ =100c{m}^2 \end{gathered}$$

Step $2$: Compute the T.S.A.

The total surface area is $6a^2$.

$$\begin{gathered} 6a^2=6{\left(5\right)}^2 \\ =150c{m}^2 \end{gathered}$$

Step $3$: Compute the volume of the given cube.

The volume of cube is $a^3$

$$\begin{gathered} a^3=5^3 \\ =125c{m}^3 \end{gathered}$$

Hence, the LSA, TSA and volume of the cube are $100c{m}^2,150c{m}^2,$and $125c{m}^3$ respectively.