Defining Volume
True or False. Volume is the amount of space that an object takes up.
True.
Find the volume of
Prism 1: 10 cm tall, 30 cm long, 30 cm wide
Prism 2: 30 cm tall, 20 cm wide, 20 cm long
21000 cm cubed
A mail box is in the shape of rectangular prism. IT has a length of 10 inches a width of 12 inches and a height of 8 inches. What is the total volume of the box?
960 in^3
Kara wants to build a bird house that has a volume of 240 cubic yards. The wood she is using has a length of 12 yards and a width of 4 yards. How tall does she have to make the bird house to fit her volume requirement?
5 yards.
Double! How do you find the height if the volume, length, and width are given to you.
Divide the volume by the product of length x width OR multiply length x width and then guess-multiply for the height until you get the volume
Volume is measured in A. Lines B. Squares C. Cubic units
C
Find the volume of a cube that is 3 yards long
27 yd^3
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
Complete the number sentence: 12 in x 6 in x _____in = 288 cubic inches
4 inches
Volume = 108 cubic inches, length = 9 inches, width = 2 inches, height = ?
Height = 6 inches
The two formulas for finding volume of a rectangular prism are:
volume = length x width x height (l x w x h) volume = Area of the Base x height (B x h)
Find the area of a prism that is 3ft tall, 5 ft wide, and 6 ft long
30 feet cubed
A rectangular prism has a top face with an area of 35ft^2 and a height of 9 feet. What is the total volume of this rectangular prism?
315 cubic feet
What is the volume of the expression below?
Centimeters x centimeters x centimeters = ?
cubic centimeters, or centimeters cubed
Find the volume of a 2 layer rectangular prism where each layer is 2 inches high. The base of the bottom layer is 200 square inches. The base of the top layer is 64 square inches. What is the total volume?
528 cubic inches
Give dimensions for a box that has a volume of 28 cubic feet (NOT USING 1 as a dimension)
2 x 2 x 7 or 7 x 2 x 2 or 2 x 7 x 2
Volume = 56 cubic feet, length = 7 feet, width = 2 feet, height = ?
height = 4 feet
How do you find the volume of a composite figure?
You would have to count the cubes, or add up the volumes of the different figures.
Find the total volume of two identical cubes with 4 cm edges.
128ft^3
Two cubes are stacked on top of each other. The total volume of both cubes is 250 cubic inches. What are the dimensions of the cubes?
5 inches for all three dimensions 5 x 5 x 5 = 125 cubic inches PER cube TWO CUBES 125 + 125 = 250 cubic inches :)
Give three different dimensions possible for a box that has a volume of 120 cubic cm
20 x 6 x 1 or 2 x 6 x 10 or 3 x 4 x 10
Double!! You are packing for a big road trip! Your trunk is tight but you think you can fit your suitcase in -- your trunk has a base area of 96 square feet and without blocking the rear view window you can stack your suitcase 4 feet high. If your suitcase has a volume of 260 cubic feet will it fit?
Trunk : 384 cubic feet Suitcase: 260 cubic feet YES it will fit! with 124 cubic feet left over :)