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. (3 points)

Part B: How many cubic inches of water was poured into the container? (3 points)

Part C: What was the height of the water in the container? Show your work. (4 points)

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. (3 points)

Part B: How many cubic inches of water was poured into the container? (3 points)

Part C: What was the height of the water in the container? Show your work. (4 points)

kidthatbro8 · Answer

please, help me.

igreen · Answer

Volume of a rectangular Prism:

$V = LWH$

igreen · Answer

Change 6 centimeters to inches:

$6cm = 2.36 in$

$V = (13)(7)(2.36)$

Multiply from left to right:

$V = (91)(2.36)$

$V = 214.76$

So the volume of the rectangular prism is 214.76.

igreen · Answer

For Part B:

1 cup = 14.44 cubic inches.

14 cups total.

So: 14 * 14.44 = 202.16.

So that's 202.16 cubic inches.

igreen · Answer

For Part C:

$V = LWH$

Plug in what we know:

$202.16 = (13)(7)h$

Solve for h:

Multiply:

$202.16 = 91h$

Divide 91 to both sides:

$h \approx 2.22$

kidthatbro8 · Answer

thank you.

igreen · Answer

No problem.