Cube Countdown
What is the volume of a solid made exactly of 15 centimeter cubes?
15 cm cubed
What are the two main formulas we use to find the volume of a rectangular prism?
V= l x w x h OR V= B x h
A prism has a volume of 24 cm cubed. If the base area is 8 cm squared, what is its height?
3 cm
What is the strategy do you use when you have a 3D shape made of multiple rectangular prisms?
Split it into separate rectangular prisms and add them together.
Which unit of measurement makes the most sense for the volume of a backyard swimming pool: inches cubed or feet cubed?
feet cubed
A box is filled with a bottom layer of 8 unit cubes. If the box is 4 layers tall, how many total cubes fit inside?
32 cubes
Find the volume of a box with length = 5 cm, width = 4 cm, and height = 3 cm.
60 cm cubed
The volume of a sandbox is 40 ft cubed. It is 5 feet long and 4 feet wide. How deep (tall) is it?
2 feet
If Prism A has a volume of 20 inches cubed and is glued to Prism B which has a volume of 35 cubic inches, what is the total volume?
55 cubic inches
An Amazon box is 10 inches long, 6 inches wide, and 5 inches tall. How much space is inside for packing peanuts?
True or False: If two different 3D shapes are made of the exact same number of unit cubes, they must have the same volume.
True
A tissue box has a base area of 40 inches squared and a height of 3 inches. What is its volume?
120 inches cubed
A toy trunk has a volume of 60 cubic feet. If it is 3 feet tall and 5 feet long, how wide is it?
4 feet
To find the volume of an L-shaped building, you split it into a top prism 3 x 2 x 2 and a bottom prism 5 x 2 x 4. What is the grand total volume?
52 units cubed
A school locker is 1 foot wide, 1 foot deep, and 5 feet tall. How many cubic feet of storage space does the student have?
5 ft cubed
A rectangular prism has a length of 5 cubes and a width of 2 cubes. How many cubes are in just one layer of its base?
10 cubes
If you double the height of a box but keep the length and width the same, what happens to the volume?
It doubles.
DAILY DOUBLE! A jewelry box has a volume of 48 inches cubed. Give two different sets of whole-number dimensions (length, width, height) that could make this box.
Any combination of 3 factors that multiplies to 48
When splitting a complex 3D shape vertically or horizontally, what is the most important thing to check before multiplying your new lengths, widths, and heights?
Make sure you didn't accidentally use an old, "un-split" side length!
A fish tank is 2 ft by 3ft by 2ft If it is only filled halfway to the top with water, what is the volume of the water?
6 ft cubed
If a cube has a side length of 3 inches, how many 1-inch unit cubes are needed to build it?
27 cubes
Calculate the volume of a cube where one edge measures 5 meters.
125 meters cubed
A rectangular prism has a volume of 100 cubic cm. The length and width are equal, and the height is 4 cm. What are the length and width?
5 cm each
A flight of stairs is made of two steps. Step 1 is 4 ft x 2 ft x 1 ft. Step 2 is sitting right behind it and is 4 ft x 2 ft x 2ft. What is the total volume of the stairs?
24 ft. cubed
A delivery truck container is 8 feet wide, 10 feet long, and 8 feet high. It is packed completely full with boxes that are each 1ft by 1 ft by 1 ft. How many boxes are in the truck?
640 boxes