The Leateral surface area of a cube is 26 msa
thevol of thecubeis
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5
Answer:
Given, lateral surface area of a cube =256 m
2
Lateral surface area of cube=4( edge)
2
Volume of cube=( edge)
3
∴4(edge)
2
=256
∴ edge =8
Volume of cube=(8)
3
=512 m
3
Step-by-step explanation:
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answered Feb 2, 2018 by navnit40 (-4,939 points)
(a) Given, lateral surface area of a cube = 256 m2
We know that, lateral surface area of a cube = 4 x (Side)2
⇒ 256 = 4 x (Side)2
⇒ (Side)2 = 256/4 = 64
⇒ Side = √64 = 8 m
[taking positive square root because side is always a positive quantity]
Now, volume of a cube = (Side)3 = (8)3 = 8 x 8 x 8 = 512 m3
Hence, the volume of the cube is 512 m3
Step-by-step explanation:
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