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Calculate Volume (l x w x h)
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What you will learn from this videoWhat you will learn
- VOLUME is the amount of space inside a 3D object.
- That the formula for finding the volume of a rectangular prism is length x width x height!
- And we'll see that this knowledge can help us take care of pets, ship things in the mail and even rescue animals.
- Discussion Questions
Before Video
Find the area of a rectangle that has length 20 cm and width 7 cm.ANSWER140 square cm.
When I find area, I find the number of unit squares I can tile an object with. The units that I use to measure are unit squares.
Jason is not correct. The area is 50 square inches, not 50 inches.
Marguerite is planning a garden. It is a rectangle with length 5 meters and width 3 meters. What is the area of her garden?
The area is 37 square cm. I multiplied 3 times 4 to find that the area of the first rectangle is 12 square cm. I multiplied 5 times 5 to find that the area of the square is 25 cm. I added the two areas together to find the area of the figure.
After Video
What is the volume of a rectangular prism that has length 3 feet, width 2 feet and height 5 feet? Explain your process. ANSWERThe volume is 30 cubic feet. I multiplied 3×2×5.
When I find volume, I find the number of unit cubes required to fill the object. The units that I use to measure are unit cubes.
Mio is not correct. The volume of the box is 120 cubic cm. I think Mio added the measurements instead of multiplying, and used units instead of cubic units.
Roberto has a fish tank in the shape of a rectangular prism that measures 2 feet by 3 feet by 2 feet. What is the volume of the fish tank?
One rectangular prism has a volume of 7 × 2 × 3 = 42 cubic cm. The other rectangular prism has a volume of 4 × 6 × 2 = 48 cubic cm. I added 42 cubic cm and 48 cubic cm and found that the volume of the figure is 90 cubic cm.
- Vocabulary
- Volume DEFINE
The amount of space inside a 3-dimensional object.
- Formula DEFINE
A rule written with mathematical symbols. V = l×w×h is a formula.
- Rectangular Prism DEFINE
A 3-dimensional solid shape that has 6 faces.
- Length DEFINE
A measure of how long an object is.
- Width DEFINE
A measure of how wide an object is.
- Height DEFINE
A measure of how tall an object is.
- Unit DEFINE
Used to measure; for example: inch, square foot, cubic meter.
- Square unit DEFINE
Used to measure, a square that is 1 unit long and 1 unit wide.
- Cubic unit DEFINE
Used to measure, a cube that is 1 unit long, 1 unit wide, and 1 unit tall.
- Volume DEFINE
- Practice Word Problems
- Practice Number Problems
- Lesson Plan
- Teacher Guide
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Level 1
What is the volume of a rectangular prism that measures 3 cm by 2 cm by 3 cm?
Level 2
Maria says the volume of a rectangular prism that measures 4 cm by 6 cm by 20 cm is 48 square cm. Is she correct? Explain.
Level 3
A figure is made up of two rectangular prisms. One rectangular prism measures 4 cm by 2 cm by 8 cm. The other rectangular prism measures 3 cm by 5 cm by 2 cm. What is the volume of the figure?
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