Question

the total surface area of a cube is 150cm2.find its volume ​

Answer 1

Answer :

The volume of cube is 225cm².

Step-by-step explanation :

To Find,

• The volume of cube.

Solution,

Given that,

• Total surface area of cube = 150cm²

To get the volume of cube, first we need to find out the of the side of cube,

As we know that,

TOTAL SURFACE AREA OF CUBE = 6a²,

Where,

• a = side of cube.

➠ 6a² = 150

➠ a² = 150 / 6

➠ a² = 25

➠ a = √25

➠ a = 5

The side of cube is 5cm.

Now, the volume of cube is, As we know that,

VOLUME OF CUBE = a³,

Where,

• a = side of cube

➠ a³

➠ 5³

➠ 5 × 5 × 5

➠ 225

Hence, the volume of cube is 225cm².

More Information

[ Topic = Cube ]

• Volume = a³ cubic units.
• Diagonal = a√3 units.
• Total surface area = 6(a)² square units.
• Lateral surface area = 4(a)² square units.