Question

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?

Answer 1

Answer:1)4 times 2)8 times

Step-by-step explanation:1)original surface area = 6a^2

surface area after increment=24a^2

new surface are /original surface area=4

2)original volume=a^3

volume of new cube=8a^3

new volume / original volume=8

Answer 2

${\blue{\bf{Hola!!}}}$

1)
TSA of cube=6a²
where a=edge

if edge gets doubled=2a
TSA=6(2a)²
TSA=6×(4a²)
TSA=24a²

4(6a²)

TSA increase by 4 times

in CSA=4a²
4(2a)

4(4a²)
16a²

4(4a²)

CSA also increase by 4 times

2)
Volume of cube=a³
if a is doubled=2a

volume=(2a)³
8a³

8(a³)

Volume increases by 8 times...


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