Question

The side of a cube is increased from 4 cm to 8 cm. Find the change in its total surface area.

Answer 1

Answer:

When side is not increased :-

a = 4cm

Total surface area of cube =

$6 {a}^{2}$

$6 ({4})^{2}$

$6 \times 16$

$96 {cm}^{2}$

When side is increased :-

a = 8cm

Total surface area of cube =

$6 {a}^{2}$

$6( {8})^{2}$

$6 \times 64$

$384 {cm}^{2}$

Change in total suface area =

$384 {cm}^{2} - 96 {cm}^{2}$

$= 288 {cm}^{2}$

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