Question

the surface area of cube is 384 cm2 find its volume

Answer 1

Answer:

512 cm³

Step-by-step explanation:

Total Surface Area = 384 cm²

Find one area:

One area = 384 ÷ 6 = 64 cm²

Find length:

Length = √area

Length = √64 = 8 cm

Find the volume:

Volume = length³

Volume = 8³ = 512 cm³

Answer: 512 cm³

Answer 2

Volume of cube is 512 cm³.

Step-by-step explanation:

To find:-

Volume of cube.

Solution:-

Given that,

Surface area of cube is 384 cm².

First we will find edge of cube for volume of cube.

Surface area of cube = 6a²

Here, a is edge of cube.

➝ 6 a² = 384

➝ a² = 384/6

➝ a² = 64

➝ a = √64

➝ a = 8

a is edge of cube. So, Edge of cube is 8 cm.

Now, According to question.

Volume of cube = a³

➝ 8 × 8 × 8

➝ 512

Therefore,

Volume of cube is 512 cm³.