Defining Volume
True or False. Volume is the amount of space inside a figure.
True.
What is the formula for finding the volume of a rectangular prism?
Volume = length x width x height
Marvin has been asked to find the volume of a rectangular prism. Which formulas could he use when solving this problem? Select all that apply!
A. V=L+W+H,
B. V=L x W x H
C. V=B+L+H
D. V=B x H
B or D
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
Volume is measured in:
A. Lines B. Squares C. Cubic units
C
Daily Double!
For a _____________ figure, it's easier to count cubes to find volume.
Composite
I made a tower in the shape of a rectangular prism out of blocks. The length was 8 inches, width was 2 inches, and height was 4 inches.
What was the volume of the figure?
8x2x4 = 64 cubic inches
Find the volume.
L=10 cm
W=16cm
H=9cm
1440 cm3
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
Find the volume.
L=6 feet
W=23 feet
H=3 feet
414 ft3
Volume = 12 cubic feet
Width = 2 feet
Height = 2 feet
Length = ?
length = 3 feet
What is the label we would use for centimeters?
cubic centimeters, or centimeters cubed
Find the volume of this figure.
L=12 inches
W=6 inches
H=10 inches
720 in3
A box is 9 inches by 11 inches by 8 inches. What is the volume of the box?
792 cubic inches
Kira has a box of crayons that is 7 centimeters long, 15 centimeters high, and 8 centimeters wide. What is the volume of her crayon box?
840 cm3
Volume = 56 cubic feet
Length = 7 feet
Width = 2 feet
Height = ?
height = 4 feet
True or False. You can find the volume of a composite 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.
What is the difference between area and volume?
Area is the space inside a flat surface.
Volume is the space inside a 3D figure.
How do you measure the volume of two connecting rectangular prisms? Explain.
Cut the shape into two prisms, find the volume of each, and then add the volumes together.
Elsa needs to mail a gift to her sister. The box is 12 cm long, 16 cm wide, and 9 cm high. What is the volume of the box?
1728 cm3
Daily Double!
Volume = 300 cubic cm
Length = 10 cm
Width = 6 cm
Height = ?
height = 5 cm