Defining Volume
True or False: Volume is the amount of space that an object takes up.
True
What is the area of a rectangle with one side length of 5 inches and another side length of 3 inches?
15 inches2
length = 3
width = 2
height = 4
What is the volume?
24 units3
Write an expression to represent the volume of a figure with the following measurements:
length = 8
width = 5
height = 2
8 x 5 x 2
What is the product of 22 and 2?
44
Volume is measured in:
a. lines
b. square units
c. cubic units
c. cubic units
What is the formula for the area of a rectangle?
I made a tower in the shape of a rectangular prism out of blocks. The length was 8 in, width was 2 in, and height was 4 in. What was the volume of the figure?
64 in3
Why would filling a box with marbles and filling a box with marbles and filling a box with cubes be different amounts?
Sample answer: They are different sizes and shapes. Marbles do not fit nicely together as cubes do and would not completely pack the box.
What is the product of 63 and 5
315
The formula for volume of a rectangular prism is...
length x width x height
A fenced in yard has side lengths of eight feet and five feet. What is the area?
40 feet2
What is the volume of the rectangular prism? (Your teacher will hold up a picture.)
72cm3
Write an expression to represent the volume of the composite figure. (Teacher will show you a picture.)
(24 x 6 x 5) + (8 x 6 x 11)
or
(8 x 6 x 5) + (8 x 6 x 16)
What is the product of 89 and 7?
623
What cubic unit would you use to measure the volume of a container on a ship?
Cubic foot or cubic yard
Which of the following demonstrates area?
a. a kleenex box
b. the top of a desk
c. a line
b. the top of a desk
A box is 9 inches by 11 inches by 8 inches. What is the volume of the box?
792 in3
What is the volume of this prism? (Teacher will show you a picture.)
72 units3
What is the product of 593 and 6?
3,558
True or False: Another formula for calculating volume is Perimeter x Height.
False. Another formula for calculating volume is Area of the Base x Height.
A white board is six units long and nine units wide. What is the area of the white board?
54 units2
What is the volume of the composite figure? (Your teacher will show you a picture.)
12 in3
What is the volume of the rectangular prism? (Teacher will show you a picture.)
72 units3
What is the product of 46 and 64?
2,944