# ﻿Volume of Prisms with Fractional Length

Warmup

How many cubes with an edge length of 1 inch fill this box? (1.) If the cubes had an edge length of 2 inches, would you need more or fewer cubes to fill the box? Explain your reasoning.(2.) If the cubes had an edge length of inch, would you need more or fewer cubes to fill the box? Explain your reasoning.

Activity #1

Exercise on Multiplication/Division of Whole Numbers with Fractions. • Take time to go through all the slides below and answer the questions to the best of your ability.

Activity #2

Volume of a Prism with Decimal Lengths. • Without checking your answers first, find the volume of a prism with the following side lengths:

(1.) length = 1.2,  width = 3.6,  height = 4.8 ​

(2.) length = 6.2,  width = 7.2,  height = 7.4​

(3.) length = 0.2,  width = 0.6,  height = 0.8

(4.) length = 1.5,  width = 1.5,  height = 1.5

Activity #3

Application of Multiplication with Fractions. Lin and Noah are packing small cubes into a larger cube with an edge length of inches. Lin is using cubes with an edge length of inch, and Noah is using cubes with an edge length of inch.

Who would need more cubes to fill the -inch cube? Explain your reasoning.

If Lin and Noah each use their small cubes to find the volume of the larger -inch cube, will they get the same answer? Explain your reasoning.

Challenge #1

A rectangular prism measures inches by inches by 2 inch. Priya said, “It takes more cubes with edge length inch than cubes with edge length inch to pack the prism.” Do you agree with Priya? Explain your reasoning.

Challenge #2

(1.) What is the volume, in cubic inches, of a cube with edge lengths of inch? Explain or show your reasoning.

(2.) Four cubes are piled in a single stack to make a prism. What is the volume?

(3.) For each volume of each prism with cubes measuring ½-inch.

Challenge #3

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 feet, what is the volume of the water in cubic feet?

Quiz Time