Question

Mike poured 15 cups of water into a rectangular container measuring 10 inches by 6 inches by 9 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)

Measurement is given as length by width by height.

Answer 1

in this kind of problem, the technique is be consistent with units used... it's either we work all in inches or the other way around... in centimeter...

Answer 2

Part A. The maximum volume of water a container can hold equals the volume of the container... given its dimension, we can simply compute its volume...

Answer 3

but how would i show my work??

Answer 4

@Orion1213

Answer 5

the volume of rectangular container is simply the product of its dimensions... that is...

Volume V = length L x width W x height H

be careful with units as i said already, the L and W are given in inches while H in centimeters...

Answer 6

V can be in cubic inches if all dimensions in inches, or V can be in cubic centimeters if you will convert all in centimeters...

Answer 7

Part B. you already given the number of cups of water being poured as well as the volume per cup in cubic inches is given... you can now solve it...

V of poured water = Number of cups of water x cubic inches per cup

Answer 8

alright thank you @Orion1213

Answer 9

and how about part c?, i don't understand how to ''show'' my work

Answer 10

Part C. your V in part B = L x W x height H (unknown)... therefore

H = V in Part B / (L x W)... answer will be in inches.... :-)

Answer 11

thank you :]