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)

Answer 1

start by converting 6 centimeters to inches

Answer 2

2.54 cm in an inch right?

Answer 3

\(\large 6 ~cm = 6~ cm\times \frac{1~ in}{2.54~cm} = 6\times \frac{1~ in}{2.54} = 2.36 ~in \)

Answer 4

:)

Answer 5

so the dimensions of container are :-

length = 13 in
width = 7 in
height = 2.36 in

Answer 6

for part A, use the formula for Volume of regular prism

Answer 7

214.76 in^2

Answer 8

l*w*h right?

Answer 9

Yes !

Answer 10

thats the max volume of water or ANYTHING the container can hold

Answer 11

btw, volume is measured in cubics...

214.76 in^3

Answer 12

you must never say volume is 214.76 in^2,
its always in^3 ok

Answer 13

in^3
cm^3
ft^3
m^3
....

Answer 14

ok

Answer 15

wat about part B

Answer 16

Winnie poured 14 cups of water into a rectangular container

[1 cup = 14.44 cubic inches;

Answer 17

So total how many cubic inches water was poured into the container ?

Answer 18

202.16in^3

Answer 19

\(\large \color{red}{\checkmark}\)

Answer 20

for part C :-

say \(h\) is the height of water in the container wid length and width as : 13 and 7

Answer 21

then,
Volume of water = 13*7*h

Answer 22

you knw volume of water from Part B, use it

Answer 23

202.16 = 13*7*h

Answer 24

you can find h

Answer 25

202.16/(13*7)=h

Answer 26

2.22=h

Answer 27

Is that right?

Answer 28

\(\large \color{red}{\checkmark}\)
2.22 in