P and Q are two geometrically similar solid shapes.
The total surface area of shape P is 720 cm².
The total surface area of shape Q is 2880 cm².
The volume of shape P is 3200 cmº.
Calculate the volume of shape Q.

25600cm³

Step-by-step explanation:

We are given these values from the question

The total surface area of shape P is 720 cm².

The total surface area of shape Q is 2880 cm².

The volume of shape P is 3200 cm³

Step 1

Find the scale factor of P to Q in terms of Length, Area and volume

Using the surface area value:

a. Scale factor for length

2880 cm² ÷ 720 cm²

Divide through by 180

= 16 ÷ 4 = 16/4

b. Scale factor for area

√ 16/4=> 4/2

c. Scale factor for volume

(4/2)³

= 64/8

In order to determine the Volume of shape Q , we would multiply the scale factor of the volume by the volume of P

Volume of P = 3200 cm³

Volume of Q =

3200 cm³ × (64/8)

= 25600cm³

the ratio of white tiles to blue tiles is 48: 16. the ratio in it's simplest form is 3: 1.

step-by-step explanation:

ratio: take the first number and add a colon next to it, then add the second number after that. make sure the ratio order matches up with the written problem!

simplest form: we can simplify the ratio 48 : 16 by dividing both terms by the greatest common factor (gcf).

the gcf of 48 and 16 is 16.

divide both terms by 16:

48 ÷ 16 = 3

16 ÷ 16 = 1

reducing to simplest form:

48 : 16 = 3 : 1

the answer would be 1 1/72

step-by-step explanation:

you can rewrite the equation by separating the parts and then solving individually:

10-9=1

1/8 - 1/9=

find l c d and then combine:

1 1/72