Question

vi) Area of whole surface of a cube is 216
sq. cm, then the volume of the cube is
a) 343 cu.cm.
(b) 216 cu.cm
c)
121 cu.cm.
(d) 225 cu.cm.

Answer 1

Explanation:

✬ Volume = 216 cm³ ✬

Step-by-step explanation:

Given:

Total surface area of cube is 216 cm².

To Find:

What is the volume of cube ?

Solution: Let the side of cube be a cm.

As we know that

★ Total Surface Area of Cube = 6a² ★

A/q

TSA is 216 cm².

➼ 216 = 6 × a²

➼ 216/6 = a²

➼ √36 = a

➼ 6 cm = a

Now volume of cube will be

★ Volume of Cube = a³ cubic units ★

⟹ Volume = 6³

⟹ (6 × 6 × 6) cm³

⟹ 216 cm³

Hence, the volume of cube will be 216 cm³.