Finding Volume with Fractional Edges

Multiple Choice

A pool in the shape of a rectangular prism is being filled with water. The length and width of the pool is 24 feet and 15 feet. If the height of the water in the pool is $$1\frac13$$ feet, what is the volume of the water in cubic feet?

• 120 cubic feet
• 90 cubic feet
• 200 cubic feet
• 180 cubic feet

Open Ended

Priya said, “It takes more cubes with edge lengths of $$\frac25$$ inch than cubes with edge lengths of $$\frac15$$ inch to pack the prism.” Do you agree with Priya? Explain or show your reasoning. A rectangular prism measures $$2\frac25$$ inches by $$3\frac15$$ inches by 2 inches.

Open Ended

How many cubes with edge lengths of $$\frac15$$ inch fit in the prism? Show your reasoning. A rectangular prism measures $$2\frac25$$ inches by $$3\frac15$$ inches by 2 inches.

Open Ended

Explain how you can use your answer in the previous question to find the volume of the prism in cubic inches. A rectangular prism measures $$2\frac{2}{5}$$ inches by $$3\frac{1}{5}$$ inches by 2 inches.

Open Ended

A rancher is ordering a box of cube-shaped salt licks. The edge lengths of each salt lick are $$\frac{5}{12}$$ foot. Is the volume of one salt lick greater or less than 1 cubic foot? Explain your reasoning.

Open Ended

The box that contains the cubes of salt lick that the farmer is ordering is $$1\frac14$$ feet by $$1\frac23$$ feet by $$\frac56$$ feet. How many cubes of salt lick fit in the box? Explain or show your reasoning.

Multiple Choice

Before refrigerators existed, some people had blocks of ice delivered to their homes. Suppose a delivery wagon had a storage box in the shape of a rectangular prism that was $$7\frac{1}{2}$$ feet by $$4\frac{1}{2}$$ feet by 6 feet. The cubic ice blocks stored in the box had side lengths $$1\frac{1}{2}$$ feet. How many ice blocks fit in the storage box?

• $$202\frac12$$

• $$3\frac38$$

• 60

• 180

Multiple Choice

A rectangular prism measures 7 1/2 cm by 12 cm by 15 1/2 cm. Calculate the number of cubes with edge length 1/2 cm that fit in this prism.

• 12000
• 11160
• 9500
• 10000

Open Ended

A rectangular prism measures $$7\frac{1}{2}$$ cm by 12 cm by $$15\frac{1}{2}$$ cm. What is the volume of the prism in $${cm}^3$$ ? Show your reasoning. If you are stuck, think about how many cubes with $$\frac{1}{2}$$ -cm edge lengths fit into $$1{ cm}^3$$ .