2
find the value of the cube whose surface area is 24 cm ^2.
Answers
Answer:
surtace area of cube =6a²
6a²=24
a²=4
a=2
volume of cube=a³
=(2)³
=8
Answer:
- Side of the cube is 2 cm.
- Volume of cube is 8 cm³.
Step-by-step explanation:
Correct Question:
Find the volume of the cube whose surface area is 24 cm².
Given:
We are given that surface area of a cube is 24 cm².
To find:
We need to find the side and the volume of cube.
Formulae applied:
⇒ Surface area of cube = 6×Side²
⇒ Volume = Side³
Solution:
Let us find the side of the cube by applying surface area of cube formula.
→ 6 × Side² = Surface Area of cube
→ 6 × Side² = 24
→ Side² = 24/6
→ Side² = 4
→ Side = √4
→ Side = 2 cm
Hence, the side of the cube is 2 cm.
Now, let us find volume of cube.
→ Volume of Cube = Side³
→ Volume of Cube = 2³
→ Volume of Cube = 8 cm³
Hence, the volume of cube is 8 cm³.