If the entire surface area of a cube is 96m', what is its volume ?.
(a) 32 m
(b) 64 m
(c) 216 m
(d) 125 m
Answers
Step-by-step explanation:
Let a be the side of the cube .
Surface area =6a²
6a²=96
a²=16
a=4(neglecting -ve value as length can never be -ve)
Therefore, Volume of cube=a³=4³=64m³.
Answer
(b) 64 m cube
Step by step explanation:
Given:
The Total Surface Area (TSA) of the cube is 96 m cube.
To find;
The volume of the cube
Now,
The formula of Total Surface Area of cube = 6(a)² unit sq.
[In which 'a' is the side of the cube]
So,
With help of this formula, we can get the side of the cube.
⇒ 6(a)² = 96
⇒ (a)² = 96 ÷ 6
[By transporting 6 to RHS]
⇒ (a)² = 16
⇒ a = 4
[Taking square root in both LHS and RHS]
Thus, the side (a) of the cube is 4 m
Now,
The formula to find the volume of the cube is = a³ unit cube
Volume of cube = (4)³ = 64 m cube
Hence
The volume of the cube is 64 m cube