If he is able to fill bottles at a rate of 175cm^3/min, how long will it take for him to fill 5 perfume bottles?

Question

George is creating a new perfume. The perfume is in the shape of a pentagonal prism with a base area of 15.48cm^2 and height of 10cm. George will be filling each perfume bottle by hand.

If he is able to fill bottles at a rate of 175cm^3/min, how long will it take for him to fill 5 perfume bottles?

Round final answer to the nearest tenth.

Answer 1

First we want to find the volume of one of the perfume bottles which is found by multiplying the area of the base times the height so 15.48cm^2 x 10 cm = 154.8 cm^3

Since we want to know how long it takes to fill 5 of these bottles we multiply the volume by 5. 154.8 cm^3 x 5 = 774 cm^3

Since we have a rate in cm^3/min we can divide the total volume of the 5 bottles by this rate to find out how long it will take to fill all the bottles. 774 cm^3 / 175cm^3/min = 4.4 min

Answer 2

V = 154.8 cm³

5V = 774 cm³

774 cm³ / 175 cm³pm = ? minutes