Question

Help plsss!! I’d rlly appreciate it :]

(You don’t have to answer all of them but I rlly need the first question!!)

The Apple iPad Mini 2 has dimensions of: Height: 7.9 in, Width: 5.30 in, Depth: 0.30 in.

1. What is the volume of the Apple iPad Mini 2?

2. If Pear-Apple applies a scale factor of 1.25 to the iPad Mini 2 to make a new tablet, what would be the new volume in cubic inches?

3. Suppose Pear-Apple applies a scale factor of .75 to the iPad Mini 2 to make the Lil Mini. What would be the volume for the Lil Mini in cubic inches.

4. Pear-Apple scraps their plans and decide to come up with a product that is half the volume of the iPad Mini. What scale factor should they use and what should the dimensions be?

5. Pear-Apple also wants to make a bigger tablet. They want the tablet to have twice the volume from the iPad Mini 2. What’s the scale factor and dimensions of the tablet?

Answer 1

The volume of the Apple iPad Mini 2 is 12.561 in³.

The new volume of the Pear-Apple is 24.53 in³.

The new volume of the Pear-Apple is 5.3in³.

The scale factor to have a volume that is half that of the iPad Mini is 0.79.

The scale factor to have a volume that is double that of the iPad Mini is 1.26

What is the volume of the Apple iPad Mini 2?

Volume  = length x width x height

7.9 x 5.30 x 0.30 = 12.561 in³

What is the volume after the scale factors are applied?

Dimensions after the 1.25 scale factor is applied: (1.25 x 7.9) x (1.25 x 5.30) x (1.25 x 0.3)

= 9.875 x 6.625 x0.375 = 24.53 in³

Dimensions after the 0.75 scale factor is applied: (0.75 x 7.9) x (0.75 x 5.30) x (0.75 x 0.3)

= 5.925 x 3.975 x 0.225 = 5.3in³

Scale factor to have a volume that is double that of the iPad Mini : [tex]2^{1/3}[/tex] = 1.26

Scale factor to have a volume that is half that of the iPad Mini : [tex]0.5^{1/3}[/tex] = 0.79

To learn more about scale drawings, please check: