Volume Basics
What is volume?
The amount of space a solid shape takes up
If a rectangular prism has 8 unit cubes inside it, what is its volume?
8 cubic units or 8 units cubes or use an exponent
What is the formula for finding the volume of a rectangular prism?
Volume = Length × Width × Height.
Which has more volume: A 2cm × 2cm × 2cm cube or a 1cm × 4cm × 2cm box?
Both have 8 cubic cm.
A rectangular beaker is 3 cm long, 2 cm wide, and 8 cm tall. How many milliliters of water can it hold?
48 milliliters
What unit is commonly used to measure volume?
Cubic units, such as cubic inches, cubic centimeters, or cubic feet.)
A box has 3 layers, each with 4 cubes. What is the total volume?
12 units cubed
Find the volume of a box that is 2 inches long, 3 inches wide, and 4 inches tall.
24 cubic inches.
A small box has a volume of 18 cubic cm, and a larger box has a volume of 36 cubic cm.How much bigger is the larger box?
Twice as big or 2 times as big
A fish tank has a base area of 72 square inches and a height of 10 inches. If the water is filled to a depth of 8 inches, how many cubic inches could be added to fill it to the very top?
144 cubic inches could be added.
True or False: Volume can be measured in square units
False
If a prism has a bottom layer of 5 cubes and is stacked 3 layers high, what is its volume?
15 cubic units.
True or False: The order of multiplying length, width, and height affects the volume.
False, multiplication is commutative.You can multiply the factors in any order.
True or False: A tall and thin box can have the same volume as a short and wide one.
True
If a box has a volume of 24 cubic centimeters, what does that mean?
It means the box can hold 24 cubes that are 1 cm³ each.
A prism is built with 24 cubic cm. What could its possible dimensions be?
Your partner must agree, each dimension should include a unit of measure.
A box has a base area of 10 square units and a height of 5 units.
What is the volume?
A prism’s volume is 120 cubic meters, and it is twice as big as another prism. What is the volume of the smaller one?
(Answer: 60 cubic meters.)