Question

The volume of a cubical box is 32768 m3.find the length of its side

Answer 1

Gɪᴠᴇɴ :-

• Volume of Cube = 32768 m³

Tᴏ ғɪɴᴅ :-

• Length of side(a) of cube

sᴏʟᴜᴛɪᴏɴ :-

We know that,

➦ Volume of Cube = a³

So,

➭ 32768 = a³

➭ a = ³√ 32768

➭ a = 32 cm

Hence,

• Length of side (a) of cube = 32 cm

More formulas :-

CUBE :-

• Volume = a³

• Total surface area = 6a²

• Lateral surface area = 4a²

Answer 2

$\huge\sf\red{Answer:}$

Given:

⇒ The volume of a cubical box is 32768 m³.

Find:

⇒ Find the length of its side.

Using formula:

★ ${\sf{\underline{\boxed{\green{\sf{ Volume \: of \: Cube = a^3}}}}}}$

Calculations:

⇒ $\sf 32768 = a^3$

⇒ $\sf a = \sqrt[3]{32768}$

⇒ ${\sf{\underline{\boxed{\green{\sf{a = 32 }}}}}}$

Therefore, 32 cm is the length of side of cube.