Volume
Describe two ways to find the volume of a rectangular prism
1. Length x Width x Height
2. Base x Height
What are the 3 dimensions of a rectangular prism?
Length, Width, and Height
A figure is made up of two rectangular prisms. Prism A has a base of 4 cubes and a height of 5 cubes. Prism B has a base of 2 cubes and a height of 10 cubes. Describe the relationship between 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.
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
243
What is the definition of Volume?
The amount of space something takes up
What does it mean to be a "rectangular prism"?
A 3-dimensional object that has 6 rectangular sides
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
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)
What is 1/3+1/3+1/3?
3/3 or 1 whole
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
Draw and label a rectangular prism with your own measurements
Answers may vary
Figure 1 has the dimensions of 3in long, 2 in wide, and 4in tall. Figure 2 has the dimensions of 6in long, 3in wide, and 4in tall. What is the composite figure's volume
96 cubic inches
fig 1: 3in x 2in x 4in= 24 cubic inches
fig 2: 6in x 3in x 4in=72 cubic inches
24+72=96 cubic inches
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
What is 53x17?
901
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)
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)
Create a complex figure and list the dimensions. One of the dimensions must be 6in and another one must be 8in. Then have another member of your team solve the volume.
answers vary
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
Solve 367 divided by 5
73r2
1x99
3x33
9x11
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
Draw a complex figure made of two rectangular prisms and provide an expression to represent the volume
Answers may vary
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
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