If each edge of a cube is doubled, (i) how many times will its surface area increase? (ii) how many times will its volume increase?
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Step-by-step explanation:
let edge of the cube be a
surface area =6a^2
if the edge is doubled , edge=2a
surface area=6/left(2a/ right)^2
= 6/times 4a^2
= 24a^2
therefore the surface area increases by 4 times.
2) let the edge be a
volume = a^3
when the edge is doubled it is 2a
volume = 6/left(2a/right) ^ 3
=8a^3
therefore the volume increases by 8 times
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Answer:
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Step-by-step explanation:
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