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
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, 1cm wide, and 3cm tall
F2: 2cm long, 4cm wide, and 7cm tall
What is the volume of the figure?
(24 + 56) = 80 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)
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
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
If the volume of a rectangular prism is 100 and the height is 5 ft., what is the area of the base?
20 ft2
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 total volume of 80. List one possible length, width and height combinations that the prism could be built with
1 x 10 x 8
4x2x10