Question

Dan poured 5 cups of water into a rectangular container measuring 8 inches by 6 inches by 7 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

Part A:
Volume of the rectangular container
\[V = length \times width \times height\]
since the units in the given is a mix of inches and cm, convert 7 cm into inches
\[V = 8" \times 6" \times 7cm (\frac{ 1" }{ 2.54cm })\]

Answer 2

Part B:
5 cups of water was poured and each cup contains 14.44cu. inches of water
the amount of water poured then is
\[V_{poured} = 5~cups(\frac{ 14.44~cu.inches }{ 1~ CUP})\]

Answer 3

A)85344.4cubic inches
B)72cubic inches
C)1.5inches

Answer 4

Part C:
\[V = length \times width \times height\]
\[V_{water}= 5(14.44)\]
\[5(14.44) = 8 \times 6 \times h\]
\[h = \frac{ 5 \times 14.44 }{ 8 \times 6 }\]

Answer 5

A cylindrical water tank with 14m Diameter and 13m height. What is the capacity of tank in terms of Litters ?? @shinalcantara

Answer 6

\[V = \pi r^2 h\]
r = diameter/2
r = 14m/2
r = 7m
-------------
\[V = \pi (7m)^2(13m)\]

Answer 7

B)72cubic inches @sampathk

Answer 8

What are your answer for Parts A, B and C @extremearianna ?

Answer 9

*answers

Answer 10

I sent you a message. :-) @shinalcantara

Answer 11

\[2167.74cm^3[\frac{ 1dm^3 }{ (10cm)^3 }] = 2.16774 dm^3\]