Defining Volume
Volume of Rectangular Prisms
Volume of Non-Overlapping Rectangular Prisms
100
True or False: Volume is the amount of space that an object takes up.
True.
100
What is the volume of this prism?
V = L x W x H
V = 6 x 4 x 3
V = 24 x 3
V = 72 cubic units
OR
V = B x H
V = 24 x 3
V = 72 cubic units
100
Determine the combined volume of the non-overlapping rectangular prism.
You must break apart into TWO parts. This is one way to break them apart. Your total combined volume must be 22 cubic units to be correct.
Volume of Part A
V = L x W x H
V = 3 x 1 x 2
V = 6 cubic units (Total part A)
Volume of Part B
V = L x W x L
V = 8 x 1 x 2
V = 16 cubic units (Total Part B)
You must add part A and part B together.
6 cubic units + 16 cubic units = 22 cubic units
The combined total volume is 22 cubic units.
200
Volume is measured in
A. Lines
B. Guesses
C. Cubic units
C
200
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
200
Find the combined total volume for the non-overlapping rectangular prism.
You must break apart into TWO parts. This is one way to break them apart. Your total combined volume must be 44 cubic units.
Volume of Part A
V = L x W x H
V = 4 x 2 x 2
V = 16 cubic units (total part A)
Volume of Part B
V = L x W x H
V = 7 x 2 x 2
V = 28 cubic units (total part B)
You must add part A and part B together to find the combined volume.
16 cubic units + 28 cubic units = 44 cubic units
The total combined volume is 44 cubic units.
300
The formula for volume of a rectangular prism is:
volume = length x width x height
OR
volume = base x height
300
What is the volume of this figure?
4 x 6 x 3 = 72 units3
300
Determine the combined volume of the non-overlapping rectangular prism.
You must break apart into TWO parts. This is one way to break them apart. Your total combined volume must be ____ cubic units to be correct.
Volume of Part A
V = L x W x H
V = 13 x 6 x 7
V = 546 cubic units (Total part A)
Volume of Part B
V = L x W x L
V = 13 x 4 x 11
V = 572 cubic units (Total Part B)
You must add part A and part B together.
546 cubic units + 572 cubic units = 1,118 cubic units
The combined total volume is 1,118 cubic units.
400
Donte took an Amazon box and measured the length and width. He says he can figure out the volume of the box by multiplying the length and width. Is Donte correct or incorrect? Why or why not?
Donte is incorrect. When you multiply the length and width you find the AREA, not the volume. Donte needs to go back and measure the height of the box.
400
A lunchbox is 6 inches by 5 inches by 3 inches. What is the volume of the box?
90 cubic inches
or
90 inches3
400
What is the combined volume of this non-overlapping rectangular prism?
Sample ways to solve. Final Answer MUST match your answer. (hint: You must break apart the boxes.)
Volume for box A
V= L x W x H
V = 12 yards x 5 yards x 4 yards
V = 240 yards3 (Part A)
Volume for box B
V= L x W x H
V = 4 yards x 5 yards x 12 yards
V = 240 yards3 (Part B)
To find the TOTAL volume you must add the volume of Box A and Box B.
240 yards3 + 240 yards3 = 480 yards3
500
True or False: Another formula for volume is Area of the base x height.
True
500
What is the volume of this prism?
12 x 6 = 72 units3
500
What is the volume of this figure?
Volume Part A
V= 4 x 6 x 2
V = 48
Volume Part B
V= 4 x 3 x 2
V = 24
48 + 24 = 72 cm3