Volume Basics
What is volume?
The amount of space an object takes up.
Find the volume: length = 5cm, width = 2cm, height = 3cm
30 cm cubed
What do LWH stand for?
Length
Width
Height
A fish tank is 8ft long, 2ft wide, and 3 ft high. What is the volume?
48 ft cubed
If the area of the base is 24 cm cubed and the height is 5 cm, what is the volume?
120 cm cubed
Cubic Units (e.g., cubic cm, cubic inch, etc.)
True or false: You multiply only two dimensions to find volume.
False
A shape is made of two rectangular prisms: one is 3x2x1, the other is 2x2x2. What is their combined volume?
6 + 8 =14 14 units cubed
A box holds 100 cubic inches. Another box is twice as tall but has the same base. What is the volume?
200 inches cubed
You have two attached boxes: one is 4x3x2 and one is 2x3x3. What is their combined volume?
24 + 18 = 42 units cubed
What is the formula for the volume of a rectangular prism?
V = length x width x height OR base x height
A box is 10 inches long, 4 inches wide, and 2 inches tall. What is the volume?
80 inches cubed.
A cube has a side length of 4. What is the Volume?
V= 64 cubic units
Maria builds a model out of 3 boxes. Each is 2x2x2. What is the total volume?
3 x 8 =24 24 units cubed
A box with a square base has a volume of 27 cm³ and a height of 3 cm. What is the length of one side of the base?
3 cm
How many cubes with a volume of 1 cubic inch fit in a box that is 2 in x 3 in x 4 in?
24 cubic inches
What is the missing dimension if the volume is 80 cm cubed, length = 5cm, height = 4cm, width = ______?
Width = 4 cm
A rectangular sandbox has a volume of 70 cubic feet. If the Height is 5, what are the missing side lengths?
7 x 2
A package is 3 ft long, 1 ft wide, and 1 ft high. How many cubic feet can it hold?
Find the total volume of a structure made from three stacked boxes: 2x2x1, 2x2x2 and 2x2x3.
4 + 8 +12 = 24 units cubed
If a shape has a volume of 36 cubic centimeters and a height of 3 centimeters, what could the length and width be?
6 cm x 2 cm
3 cm x 4 cm
You double the height of a prism. What happens to the volume?
The volume also doubles.
A storage container is 10 feet long, 4 feet wide, and 6 feet high. What is the volume of the container?
V= 240 feet cubed
If a storage unit is 6 ft x 5 ft x 4 ft, how many 1 ft cubed boxes can it hold?
120 boxes
You have a mystery box with a volume of 64 cubic units. What could all 3 dimensions be if they are whole numbers? Give two possible combinations.
4x4x4 and 2x4x8