Question

Find the TSA and LSA of a cube whose side is 7.5 CM

Answer 1

${\huge{\underline{\underline{\sf {\mathfrak{Answer}}}}}}$

${\underline{\underline{\rm {Given:}}}}$

• $Side \ of \ cube = 7.5\ cm$
• $TSA = ?$
• $LSA = ?$

${\underline{\underline{\rm {Solution:}}}}$

• $TSA= 6(side)^2 \\ TSA = 6(7.5)^2 \\ TSA = 6(56.25) \\ \boxed{\implies{\boxed{TSA =337.5 \ cm^2}}}$
• $LSA = 4(side)^2 \\ LSA = 4(7.5)^2 \\ LSA = 4(56.25) \\ \boxed{\implies{\boxed{LSA = 225 \ cm^2}}}$

Answer 2

Answer :-

• TSA of cube = 337.5 cm²
• LSA of cube = 225 cm²

Given :-

• Side of cube = 7.5 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.

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

$\rm : \; \longmapsto 6 \; (7.5)^2 \; \; cm^2$

$\rm : \; \longmapsto 6 \times 7.5 \times 7.5 \; \; cm^2$

$\rm : \; \longmapsto 6 \times 56.25 \; \; cm^2$

$\red { \underline { \boxed { \bf : \; \longmapsto 337.5 \; \; cm^2 \qquad \star }}}$

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

$\rm : \; \longmapsto 4 \; (7.5)^2 \; \; cm^2$

$\rm : \; \longmapsto 4 \times 7.5 \times 7.5 \; \; cm^2$

$\rm : \; \longmapsto 4 \times 56.25 \; \; cm^2$

$\green { \underline { \boxed { \bf : \; \longmapsto 225 \; \; cm^2 \qquad \star }}}$

Hence, the TSA and LSA of cube are 337.5 cm² and 225 cm² respectively.

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

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

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

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

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

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

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