True or False: Volume is the amount of space that an object takes up.
True.
What is the area of this rectangle?
3 x 5 = 15 cm2
What is the formula for finding the volume of a rectangular prism?
Volume = length x width x height
or
Volume = Area of base x height
Eduardo made a tower of cubes. The bottom layer, or base, had 16 cubes and it was 7 layers tall. How many cubes were in his tower?
16 x 7 = 112 unit cubes
Why would filling a box with marbles and filling the same box with cubes be different amounts?
Sample answer:
They are different sizes and shapes. Marbles don't fit together as nicely as cubes. Marble would have gaps.
Volume is measured in
A. Lines
B. Squared units
C. Cubic units
C
Area = length x width
I made a tower in the shape of a rectangular prism out of blocks. The length was 8 cubes, width was 2 cubes, and it was 6 layers tall. What was the volume of the figure?
8x2x6 = 96 cubic units
Ms. Villa de Rey made a birdfeeder that was 5 inches long, 4 inches wide, and 7 inches tall.
She wants to know how much birdseed to buy.
What is the volume of the birdfeeder?
5 x 4 x 7 = 140 cubic inches
4 x 5 x 3 = 60
The formula for volume of a rectangular prism is:
volume = length x width x height
What is the area of this rectangle?
5 x 8 = 40 cm2
What is the volume of this figure?
6 x 3 x 4 = 72 cm3
Mr. Peterson's pool holds 360 cubic feet of water. It is 10 feet long, and 9 feet wide. How deep is the pool?
36 ÷ 10 = 36
36 ÷ 9 = 4
It is 4 feet deep
I have a box with a volume of 36 cubic inches. Which are possible dimensions for the box?
a. 6 square inches x 6 inches
b. 12 inches x 12 inches x 12 inches
c. 4 inches x 3 inches x 3 inches
d. 12 inches x 6 inches x 18 inches
a. 6 square inches x 6 inches
AND
c. 4 inches x 3 inches x 3 inches
Centimeters x centimeters x centimeters = ?
cubic centimeters, or centimeters cubed, or cm3
Which ONE of the following demonstrates area?
- a kleenex box
- the top of a desk
- a line
The top of a desk
A box is 8 inches long by 10 inches wide by 8 inches high. What is the volume of the box?
640 cubic inches
What is the volume of a box whose base has an area of 45 cm2 and has a height of 5 cm?
45 x 5 = 225 cm3
What is the volume of this prism?
4 x 6 x 3 = 72 units3
True or False: Another formula for volume is Area of the base x height.
True
For volume, the area is the same as the ________.
Base
I have a pencil case with a length 8 inches, a width of 5 inches and a height of 2 inches.
What is the volume of this case?
8 x 5 x 2 = 80 cubic inches
Ms. Robinson has a cereal box with a volume of 150 cubic inches. The box is 10 inches tall, what are the length and width of the box
150 ÷ 10 = 15
l x w = 15
3 x 5
or
5 x 3
5 inches and 3 inches
How many more cubes are needed to fill the prism?
4 X 5 X 3 = 60 cubic units
60 - 20 = 40
40 - 2 = 38 cubic units