If the total surface area of a cube is numerically equal to its volume, then what is the lateral surface area of the cube in sq units?
Answers
Answered by
5
Answer:
TSA of a cube =6a
2
SA of a sphere =4πr
2
TSA of a cube = SA of a sphere
6a
2
=4πr
2
3a
2
=2πr
2
3
a=
2π
r
So, a=
3
2π
r
Volume of a cube =a
3
=(
3
2π
r)
3
=(
3
2π
)
(
3
2
)
r
3
Volume of a sphere =
3
4
πr
3
Required Ratio =
3
4
πr
3
(
3
2π
)
(
3
2
)
r
3
=
6
π
Answered by
2
Answer:
144 sq units
Step-by-step explanation:
Total surface area of cube = 6a²
Volume of cube = Base area × height = a²×a = a³
Volume of cube = Surface Area of cube
a³ = 6a²
a³÷a² = 6
a³‐² = 6
a = 6
Lateral surface area of cube = 4a²
= 4×6²
=4×6×6
144sq units
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