Question

9. Find the volume of a cube whose surface area is 150 m²​

Answer 1

Answer:

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Answer 2

Given:-

• Surface area of Cube = 150m²

To Find:-

• The Volume of a cube.

FORMULAE USED:-

• Surface area of cube = 6a²

• Volume of cube = (side)³

Now,

→ Surface area of cube = 6a²

→ 150m² = 6a²

→ 150/6 = a²

→ 25 = a²

→ a = 5.

Therefore,

→ Volume of cube = (Side)³

→ Volume of cube = (5)³

→ Volume of cube = 125m³

Hence, The Volume of cube is 125m³.

Formulaes related to Visualizing Solids :-

• Volume of Cuboid = L × B × H

• Total Surface area of Cylinder = 2πr(r + h )

• Lateral Surface area of Cylinder = 2πrh

• Lateral Surface area of Cone = πrl

• Total Surface area of cone = πr ( l + r)

• Volume of cylinder = πr²h

• Volume of Cone = ⅓πr²h.