True or False: Volume is the amount of space that an object takes up.
True.
B. 60 cubic inches
How many cubes will fit in this prism?
24 cubes would fit in this prism.
Why would filling a box with marbles and filling the same box with cubes be different amounts?
Sample answer:
They are different sizes and shapes. Marbles don't fit together as nicely as cubes.
True or False.
Volume can be found be figuring out the base, and then how many layers there are.
True
Volume is measured in
A. Lines
B. Squared units
C. Cubic units
C
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
The volume of a prism is 60 in3. The length is 10 inches and the width is 3 inches. What is the height?
10 x 3 x ?= 60
30 x ? = 60
The height is 2 inches.
How many cubes are in one layer of this rectangular prism?
2 layers of 16
OR
4 layers of 8
How do you find the volume of a composite figure?
You find the volume of each rectangular prism then add the volume amounts together to get the total.
One formula for volume of a rectangular prism is:
volume = length x width x height
What is the volume of this figure?
6 x 3 x 4 = 72 cm3
What is the TOTAL volume of this prism if all the space were filled?
4 x 6 x 3 = 72 units3
4 layers of 24
The prism is 4 cubes high and 6 cubes long and 4 cubes wide.
What is the volume of this composite prism?
72 in3
Centimeters x centimeters x centimeters = ?
cubic centimeters, or centimeters cubed, or cm3
A box is 5 inches by 2 inches by 8 inches. What is the volume of the box?
80 cubic inches
The base of a rectangular prism is 40m2 and the width is 4 m. What is the volume of this prism?
40 x 4 = 160 m3
How many layers are in this rectangular prism?
3 layers of 24
What is the volume of the top figure?
108 cm3
True or False: Another formula for volume is Area of the base x height.
True
What is the volume of this prism?
12 x 6 = 72 units3
The volume of a rectangular prism is 50 m3. What could the dimensions (length, width, and height) be? There is more than one correct answer!
25 x 2 x 1
5 x 5 x 2
10 x 5 x 1
What is the volume of this prism? It has 4 layers of 50 square meters.
200 m3
What is the volume of top layer?
48 cm3