Question

Find the TSA and LSA of the cube whose side is 5cm​

Answer 1

Formula for Total surface area of cube :

$\large\rm { 6a^{2}}$

substituting the values,

$\large\rm { =6 \times 5^{2}}$

$\large\rm{=6 \times 25}$

$\large\rm{ =150 \ cm^{2}}$

Formula for Lateral surface area of cube:

$\large\rm { 4a^{2}}$

substituting the values

$\large\rm { =4 \times 5^{2}}$

$\large\rm { =4 \times 25}$

$\large\rm {= 100 cm^{2}}$

Answer 2

Answer :-

• TSA of cube = 150 cm²
• LSA of cube = 100 cm²

Given :-

• Side of cube = 5 cm

To Find :-

• TSA of cube = ?
• LSA of cube = ?

Explanation :-

As we know, TSA means area of all faces of a solid shape and LSA means area of four faces of a solid shape.

$\blue { \boxed { \bf \bigstar \; TSA \; of \; cube = 6 \; (Side)^2 \; \bigstar }}$

$\rm : \; \longmapsto 6 \; (5)^2 \; \; cm^2$

$\rm : \; \longmapsto 6 \times 5 \times 5 \; \; cm^2$

$\rm : \; \longmapsto 6 \times 25 \; \; cm^2$

$\red { \underline { \boxed { \bf : \; \longmapsto 150 \; \; cm^2 \qquad \star }}}$

$\pink { \boxed { \bf \bigstar \; CSA \; of \; cube = 4 \; (Side)^2 \; \bigstar }}$

$\rm : \; \longmapsto 4 \; (5)^2 \; \; cm^2$

$\rm : \; \longmapsto 4 \times 5 \times 5 \; \; cm^2$

$\rm : \; \longmapsto 4 \times 25 \; \; cm^2$

$\green { \underline { \boxed { \bf : \; \longmapsto 100 \; \; cm^2 \qquad \star }}}$

Hence, the TSA and LSA of cube are 150 cm² and 100 cm² respectively.

$\huge \text{\underline{\underline{More To Know}}}$

$\rm \star \; Diagonal \; of \; Cuboid = \sqrt{(L)^2+(B)^2+(H)^2}$

$\rm \star \; Diagonal \; of \; Cube = \sqrt{3} \; (Side)$

$\rm \star \; TSA \; of \; Cuboid = 2 \; (LB+BH+HL)$

$\rm \star \; TSA \; of \; Cube = 6(Side)^2$

$\rm \star \; LSA \; of \; Cuboid = 2H\; (L+B)$

$\rm \star \; LSA \; of \; Cube = 4(Side)^2$