Question

Could someone please help me with these? I hate converting!

Jane poured 12 cups of water into a rectangular container measuring 12 inches by 8 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

V = lwh

Answer 2

I'm aware of finding volume, it's the conversion with cubic inches and inches

Answer 3

But first before solving anything we have to convert centimeters to inches

Answer 4

9 centimeters = 3.54 inches

Answer 5

Very good

Answer 6

So now you can compute the volume of the rectangular container

Answer 7

Since

1 = 12
w = 8
h = 3.54

Answer 8

So V = (12)(8)(3.54)

Answer 9

=339.84

Answer 10

Don't forget units

Answer 11

When we multiplied each unit, inches got multiplied three times so

339.84 cubic inches.

Answer 12

Now it asks how much volume of water was poured into the tank.
It gives 1 cup = 14.44 cubic inches

All you have to do now is multiply both sides by 12:

(12)(1 cup) = 12(14.44) cubic inches

Answer 13

so 173.28 cubic inches

Answer 14

Correct

Answer 15

For part C, in order to find the height of the water, you have to take 173.28 and divide it by the given length and width.

Answer 16

So

\[\frac{\text{Volume of water}}{\text{length} \times \text{width}}\]

Answer 17

so = 1.805

Answer 18

Congratulations, you are correct.

Answer 19

But don't forget units

Answer 20

The height of the water is 1.805 inches

Answer 21

You're a lifesaver, thank you so much!

Answer 22

@vinurules wheres the answer?