Question

If the volume of a cube is 3375 m3
.then find its total surface area

Answer 1

Answer:

1350m

Step-by-step explanation:

Hi friend

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Your answer

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Volume of a cube = 3375 m³

Measure of the edge of the cube = ³√3375 m => 15 m

Total surface area of a cube = 6 × (side)²

=> [6 × (15)²] m²

=> [6 × 225] m²

=> 1350 m²

HOPE IT HELPS!

Answer 2

$\Large{\underbrace{\sf{\pink{Required\:Answer:}}}}$

Given :

• Volume of α cube is 3375 m³.

To Find :

• Totαl surfαce αreα of cube.

Knowledge Required :

$\large\star{\boxed{\sf{\pink{ Volume_{(cube)} = (side)^{3}}}}}$

$\large\star{\boxed{\sf{\pink{ T.S.A(Total\:Surface\:Area_{(cube)} = 6(side)^{2}}}}}$

Solution :

Let the side be x.

• Substitute the vαlues in the formulαe of volume of cube.

$\longrightarrow{\sf{ x^{3} = 3375cm^{3}}}$

$\longrightarrow{\sf{ x = ∛ 3375cm^{3}}}$

$\large\implies{\boxed{\sf{ x = 15cm}}}$

Therefore, the edge of the cube is 15cm.

Now,

• Substitute the vαlues in the formulαe of T.S.A(Totαl Surfαce Areα) of cube.

$\longrightarrow{\sf{ 6(x)^{2} = 6(15)^{2}}}$

$\longrightarrow{\sf{ 6 \times 225}}$

$\large\implies{\boxed{\sf{\pink{ 1,350cm^{2}}}}}$

Hence, the totαl surfαce αreα of the cube is 1,350cm².

And we αre done! :)

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