Karyn is using a set of building blocks shaped like rectangular prisms to make a model. The three types of blocks she has are shown at right. What is the volume of an A block? (Do not include the pegs on top.)

How many A blocks would you need to take up the same amount of space as a C block?

Karyn puts a B block, two C blocks, and three A blocks together. What is the total volume of these blocks?

Karyn uses the blocks to make a prism that is 2 units long, 3 units wide, and \(1\cfrac{1}{2}\) units high. The prism is made of two C blocks, two B blocks, and some A blocks. What is the total volume of A blocks used?

Verify the Reasoning of Others Jo says that you can use \(\text{V} = \text{l}\times\text{w}\times\text{h}\) or \(\text{V} = \text{h}\times\text{w}\times\text{l}\) to find the volume of a rectangular prism. Does Jo’s statement make sense? Explain.

A box measures 5 units by 3 units by \(2\cfrac{1}{2}\) units. For numbers 12a–12b, select True or False for the statement.

12a. The greatest number of cubes with a side length of \(\cfrac{1}{2}\) unit that can be packed inside the box is 300.

12b. The volume of the box is \(37\cfrac{1}{2}\) cubic units.