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 is a composite figure?
A shape made up of two or more simple shapes.
A fish tank is 8ft long, 2ft wide, and 1.5 ft high. What is the volume?
24 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
How many different rectangular prisms can have a volume of 24 cubic units using only whole numbers?
Several (e.g., 1x3x8, 2x3x4, 2x2x2 etc.)
What is the formula for the volume of a rectangular prism?
V = length x width x height
A box is 10 inches long, 4 inches wide, and 2 inches tall. What is the volume?
80 inches cubed.
You have two attached boxes: one is 4x3x2 and one is 2x3x3. What is their combined volume?
24 + 18 = 42 units cubed
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 81 cm³ and a height of 3 cm. What is the length of one side of the base?
3 cm (since 3×3 = 9 and 9×3 = 27 — wait,
correct answer: 81 ÷ 3 = 27, √27 is approx 5.2
— if whole numbers only, 9×3=27 doesn’t
work. So, none exactly — reframe or say
approx 5.2)
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 cubes
What is the missing dimension if the volume is 120 cm cubed, length = 6cm, height = 4cm, width = ______?
Width = 5 cm
True or false: You must add the volumes of each part in a composite figure.
True
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
You double the height of a prism. What happens to the volume?
The volume also doubles.
Explain how you would find the volume of an L-shaped solid.
Break it into two rectangular prisms, find the volume of each, and then add them.
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