Volume
Rectangular Prisms
Complex Figures
Word Problems
Miscellaneous
100
Describe two ways to find the volume of a rectangular prism
1. Length x Width x Height
2. Base x Height
100
What are the 3 dimensions of a rectangular prism?
Length, Width, and Height
100
A figure is made up of two rectangular prisms. Prism A has a length of 2 cubes, width of 2 cubes, and a height of 5 cubes. Prism B has a length of 2 cubes, width of 1 cube, and a height of 10 cubes. Describe the volumes of the two pieces of the figures, then find the total volume.
Both of the prisms have the same volume (20 cubic units). The total volume of the figure of 40 cubic units.
100
Susan has a drawer in her desk that measures 6 inches long, 9 inches wide, and 4 inches high. What is the total volume of Susan's drawer?
216 cubic inches
100
What is 27x9?
243
200
What is the definition of Volume?
The amount of space something takes up
200
What does it mean to be a "rectangular prism"?
A 3-dimensional object that has 6 rectangular sides
200
A figure is made up of 2 rectangular prisms. The prisms have the following measurements:
F1: 8cm long, 9cm wide, and 3cm tall
F2: 2cm long, 4cm wide, and 7cm tall
What is the volume of the figure?
(216 + 56) = 272 cubic cm
200
Sarah built a rectangular prism with a base of 6 cubes and a height of 18 cubes. Jack built a rectangular prism with a length of 2 cubes, a width of 3 cubes, and a height of 18 cubes. Who's rectangular prism is larger? Explain how you know
The rectangular prisms have the same volume. (108 cubic units)
200
Todd uses centimeter cubes to build a solid rectangular prism with a volume of 15 cubic centimeters. How many centimeter cubes does he use?
15
300
A rectangular prism has a length of 9 inches, a height of 7 inches, and a width of 3 inches. What is the volume of the prism?
189 cubic inches
300
Draw and label a rectangular prism with your own measurements
Answers may vary
300
DAILY DOUBLE:
What math concept will we be talking about next?
Order of Operations (PEMDAS)
300
Mari's toy closet floor measures 74 square feet. The toy closet is 8 feet tall. What is the total volume of Mari's toy closet?
592 cubic feet
300
What is 53x17?
901
400
A rectangular prism has a width of 8 feet, a height of 6 feet, and a length of 2 yards. What is the volume of the prism?
288 cubic feet (2 yards = 6 feet)
400
A rectangular prism has a base of 12 units. Is it possible for that prism to have a total volume of 72? Explain why or why not
Yes. The prism can have 6 layers of 12 (height of 6 cubic units)
400
112 cm3 or cubic cm
400
Paul had 100 cubes to build with. He built a rectangular prism with a length of 5 cubes and a width of 4 cubes. How tall was his prism?
The prism was 5 cubes (layers) tall
400
Bob places 45-unit cubes in a box. There are gaps between the cubes in the box. Is the volume of the box equal to 45 cubic units or will the volume of the box be greater than 45 cubic units?
The volume of the box is greater than 45 cubic units.
500
A rectangular prism has a total volume of 99. List all the possible base/height combinations that the prism could be built with
1x99
3x33
9x11
500
A cube has a total volume of 125 cubic units. What are the 3 dimensions of this rectangular prism?
Length = 5 units
Width = 5 units
Height = 5 units
500
204 ft3 or cubic ft
500
The closet is 6 feet long, 5 feet deep and 8 feet tall. In the closet, there is a suitcase that is 2 feet wide, 3 feet long and 4 feet tall. How much room is left in the closet?
216 cubic feet of space left
500
Sally earned 87 points in a video game. Her brother Tony earned ten times as many points. How many points did the siblings earn altogether?
957 points altogether