128k views
1 vote
A cube has a side length of 5 cm. If this cube is enlarged by a scale factor of 2,

A: What is the enlarged cube's side length? Please show your work and use correct labels.

B: What is the enlarged cube's volume? Please show your work and use correct labels.

C: What is the enlarged cube's Surface Area (SA)? Please show your work and use correct labels.

User Shambhav
by
5.1k points

1 Answer

2 votes

♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫

A) 5 x 2 = 10

The enlarged cube's side length is 10 cm

B) Work out the volume of the original cube:

Volume = 5 x 5 x 5

Volume = 125 cm^3

As it is volume, you have to cube the scale factor

2^3 = 8

Multiply this new scale factor by the volume:

125 x 8 = 1000

The enlarged cube's volume is 1000 cm^3

C) Work out the surface area of the original cube:

S.A = 5 x 5 x 6

S.A = 150 cm^2

As it is area, you have to square the scale factor

2^2 = 4

Multiply this new scale factor by the surface area:

150 x 4 = 600

The enlarged cube's surface area is 600 cm^2

Hope This Helps You!

Good Luck (:

Have A Great Day ^-^

↬ ʜᴀɴɴᴀʜ

User Rodrigo Leite
by
4.9k points