Question

Find the volume of a cube whose surface area is 150 m2

Answer 1

Answer:

125 m³

Step-by-step explanation:

Always calculate total surface area whenever it is not given.

6a² = 150

a² = 25

a = 5 m

v = a³

v = 5³

VOLUME = 125 m³

Answer 2

✬ The volume of cube is 125 m³ ✬

Step-by-step explanation:

Given: Surface area of cube is 150 m²

To find: Volume of cube

Required Formula:

• Surface area of cube = 6a²
• Volume of cube = a³

Solution:

$\\ :\implies\sf{150 = 6 {a}^{2} }\\ \\ :\implies\sf{ {a}^{2} = \frac{150}{6}}\\ \\ :\implies\sf{ {a}^{2} = 25}\\ \\ :\implies\sf{a = \sqrt{25} }\\ \\ :\implies\underbrace{\boxed{ \mathfrak{a = 5\: m}}} \: \green{ \bigstar}$

• The side of cube is 5 m.

Now,putting the value of x in the formula volume of cube.

$\\ :\implies\sf{V = a^3}\\ \\ :\implies\sf{V = 5^3}\\ \\ :\implies \underbrace{ \boxed{\mathfrak{V =125 \: m^3}}} \: \red{ \bigstar}$

• ∴ Hence,The volume of cube is 125 m³.