Defining Volume
True or False.
Volume is the amount of space that an object takes up.
True.
True or False.
A cube has six square faces.
True
What is the formula for finding the volume of a rectangular prism?
Volume = length x width x height
How do you find the base area of a figure?
Area = Length x Width
Double! How do you find the height if the volume, length, and width are given to you.
Divide the volume by the product of length x width OR multiply length x width and then guess-multiply for the height until you get the volume
Volume is measured in
A. Lines
B. Squares
C. Cubic units
C
For a _____________ figure, it's easier to count cubes to find volume.
Irregular
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?
8x2x4 = 64 cubic inches
Marlin needs to know the area of his house. The house is a rectangle. The side are 20 feet and 30 feet long. What is the area?
600 feet squared
Volume = 4 cubic inches, length = 2 inches, width = 2 inches, height = ?
Height = 1 inch
The formula for volume of a rectangular prism is:
volume = length x width x height
A figure is made out of sugar cubes.
If the figure is made of 6 rows, with 5 sugar cubes in each row, how many sugar cubes are there altogether?
6x5=30 sugar cubes
What is the volume of the figure? (see slide 4)
7 x 6 x 2 =84 cubic units
What is the base area of this irregular figure? (See Slide 6)
6x4=24cm2 5x4=20cm2 4x9=36cm2
24+20+36=80 cm2
Volume = 12 cubic feet, width = 2 feet, height = 2 feet, length = ?
length = 3 feet
Centimeters x centimeters x centimeters = ?
cubic centimeters, or centimeters cubed
I made this figure out of blocks. How many cubes did I use to make the figure? (see slide 2)
24 cubic units
A box is 9 inches by 11 inches by 8 inches. What is the volume of the box?
792 cubic inches
What is the base area of the irregular figure? (See Slide 8)
131 cubic feet
Volume = 56 cubic feet, length = 7 feet, width = 2 feet, height = ?
height = 4 feet
True or False.
You can find the volume of a irregular figure by using length x width x height
False.
You would have to count the cubes, or add up the volumes of the different figures.
How many cubes make up the figure? (See slide 3)
75 cubic units
What is the volume of the figure? (see slide 5)
90 cubic cm
The volume of a box of candy is 144 cubic inches. If the height of the box is 9 inches, what is the base area of the box?
16 inches squared (in2)
Double!! Volume = 300 cubic cm, length = 10 cm, width = 6 cm, height = ?
height = 5 cm