Question

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

Answer 1

Question a

Step By Step Explaining:

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Answer 2

Question a
The given cube has length,


`l = 5cm`

If the cube us enlarged by a scale factor of 2, then the enlarged cube has length,


`L=2 * 5cm = 10cm`

Question b.

The volume of the original cube is



`v = {5}^(3) = 125 {cm}^(3)`

To find the volume of the enlarged cube, multiply the volume of the original cube by 2³.


The volume of the enlarged cube is


`V = {2}^(3) * 125 = 1000 {cm}^(3)`


Question C


The surface area of the original cube is

`s.a = 6 {l}^(2)`


`s.a = 6 * {5}^(2) = 150 {cm}^(2)`


To find the surface area of the enlarged cube multiply the surface area of the original cube by 2².



`S. A = {2}^(2) * 150 = 600 {cm}^(2)`