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

✬ 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 ★

$\implies{\rm }$ Volume = 6³

$\implies{\rm }$ (6 × 6 × 6) cm³

$\implies{\rm }$ 216 cm³

Hence, the volume of cube will be 216 cm³.

Answer 2

Answer:-

To Find: Volume of cube

Given:

• Area of whole surface of a cube = 216 cm²

Solution:

• Surface area of cube = 6a² sq.unit.

➤ 6a² = 216

taking the square to RHS

➤ 6a = √216

➤ a = √216/6

➤ a = √36

➤ a = 6 cm

• Side = a = 6 cm

• Volume of cube = a³ cubic unit.

➤ a³ = 6³

➤ a³ = 6 × 6 × 6

➤ a³ = 216 cm³

Therefore,

• The volume of cube is 216 cm³.

Option (b)216 cu.cm is the right option.

________________________________