Question

Winnie poured 14 cups of water into a rectangular container measuring 13 inches by 7 inches by 6 centimeters.
[1 cup = 14.44 cubic inches; 1 inch = 2.54 cm]

Part A: What is the maximum volume of water that the rectangular container can hold? Show your work.

Part B: How many cubic inches of water was poured into the container?

Part C: What was the height of the water in the container? Show your work.

Answer 1

A. 13in*7in*(6in*2.54cm)=1,386.84in^3

B. 14*14.44=202.16 in^3

Answer 2

Do you know what C is

Answer 3

I'm not sure

Answer 4

I want to say that the height of maximum volume is 17.78 in. and I could get the ratio from the max volume to what was poured into the container. Then use the same ratio with 17.78 but I'm not sure if that would be correct

Answer 5

I want to say that it is .227949 in
But like I said, I'm not sure

Answer 6

Okay thanks :)

Answer 7

14 cups = 3 312.23 cm^3 (i used google cos screw all the conversions)

the base is 7 inches by 6 centimeters, or
17.78cm by 6cm

3312.23 = 17.78 * 6 * h

solve for h, the height in part C.

Answer 8

How would I go about solving for H?

Answer 9

Divide both sides by (17.78 * 6)

Answer 10

Okay thanks :)