Question

Find the CSA and TSA of cube whose side is 8m.
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Answer 1

Answer:

LSA IS 256 METER CUBE AND TSA IS 288 METER CUBE.

Step-by-step explanation:

FOR TSA

TSA OF CUBE =

$6 {a}^{2}$

TSA=6×8×8

=48×6

=288 meter square

FOR CSA

CSA=LSA (because cube has lateral surface no curved surface)

LSA=

$4 ({side})^{2}$

LSA=4×8×8

=32×8

=256 meter square

Answer 2

Answer :-

• TSA of cube = 384 cm²
• LSA of cube = 256 cm²

Given :-

• Side of cube = 8 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.

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

$\rm : \; \longmapsto 6 \; (8)^2 \; \; cm^2$

$\rm : \; \longmapsto 6 \times 8 \times 8 \; \; cm^2$

$\rm : \; \longmapsto 6 \times 64 \; \; cm^2$

$\red { \underline { \boxed { \bf : \; \longmapsto 384 \; \; cm^2 \qquad \star }}}$

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

$\rm : \; \longmapsto 4 \; (8)^2 \; \; cm^2$

$\rm : \; \longmapsto 4 \times 8 \times 8 \; \; cm^2$

$\rm : \; \longmapsto 4 \times 64 \; \; cm^2$

$\green { \underline { \boxed { \bf : \; \longmapsto 256 \; \; cm^2 \qquad \star }}}$

Hence, the TSA and LSA of cube are 384 cm² and 256 cm² respectively.

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

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

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

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

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

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

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