Answer:
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
