Question

1. If the dimensions of a cube are doubled,
by how many times will its surface area
increase?
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Answer 1

Answer:

Surface area of cube=6a

2

Is sides of cube is doubled

New surface area is =6×4a

2

Divide 2 by 1

=24a

2

surfaceareaofcube1

surfaceareaofcube2

=

6a

2

24a

2

=4times

Surface area increased four times

Volume of cube= a

3

Volume of new cube= (2a)

3

=8a

3

Divide 2 by 1

volumeofcube

volumeofnewcube

=

a

3

8a

3

Volume increased 8 times

Step-by-step explanation:

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Answer 2

Answer:

Surface area of cube=6a

2

Is sides of cube is doubled

New surface area is =6×4a

2

Divide 2 by 1

=24a

2

surfaceareaofcube1

surfaceareaofcube2

=

6a

2

24a

2

=4times

Surface area increased four times

Volume of cube= a

3

Volume of new cube= (2a)

3

=8a

3

Divide 2 by 1

volumeofcube

volumeofnewcube

=

a

3

8a

3

Volume increased 8 times