Question

10. The volume of a cube is 1000 cubic cm. Find its total surface area.?​

Answer 1

Answer:

We know that,

Volume of cube=a^3=1000 cubic cm

a=10 cm

Total Surface area of Cube=6a^2=6×(10)^2

=6×10×10=600 sq cm

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Answer 2

${\huge{\underline{\underline{\sf{\blue{Question:-}}}}}}$

The volume of a cube is 1000 cubic cm. Find its total surface area.?

${\huge{\underline{\underline{\sf{\blue{Solution:-}}}}}}$

Let a cm be the edge of the cube .

Then,

$volume \: of \: the \: cube = a ^{3} \: cm ^{3}$

Given,

$volume \: of \: the \: cube = 1000 \: cm ^{3}$

Therefore,

$a ^{3} = 1000 \: cm ^{3}$

$=(10^{3} ) \: cm ^{3}$

Thus,

a = 10 cm

Now,

$Total \: surface \: area = {6a}^{2}$

$= 6 \times (10) ^{2} \: {cm}^{2} = 6 \times 10 \times 10 \: {cm}^{2}$

$= 600 \: {cm}^{2}$

Therefore,

The total surface area of the cube is

$= 600 \: cm ^{2}$