Question

Find the volume of a cube, one face of which has an area of 64 cm².
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Answer 1

Given:

• Area of cube = 64 cm²

To Find:

• Volume of cube

Solution:

☯ Let the side be "a".

According to the question:

→ a² = 64

→ a = √64

→ a = 8 cm

Volume of cube = a³

→ a³

→ 8³

→ 512 cm³

Hence,

• Volume of cube = 512 cm³.

Answer 2

Answer :

The volume of cube is 512cm³.

Step-by-step explanation :

To Find,

• The volume of cube

Solution,

Given that,

• One face of cube has area = 64cm²

As we know that,

Area of square = Side², the side of square is,

➜ Side² = 64

➜ Side = √ 64

➜ Side = 8

The side of square is 8cm.

Now, we can get the volume of cube, as we got the side of Square,

Volume of square = a³,

Where,

• a = side

➜ 8³

➜ 8 × 8 × 8

➜ 64 × 8

➜ 512

Hence, the volume of cube is 512cm³.