Calculating Height from Volume

5th Grade•20 minutes•use the associative property of multiplication to find the volume of a right rectangular prism with whole number side lengths and relate it to packing a solid with unit cube apply the formula V = l × w × h, where V represents volume and l, w, and h represent the three dimensions of the right rectangular prism (length, width, height) and relate the formula to a unit cube filled model; apply the formula V = B × h, where V represents volume, B is the base-area, and h represents the height (number of layers of the base area) and relate the formula to a unit cube filled model; and] calculate the volume of solid figures composed of two non-overlapping right rectangular prisms by decomposing the figure and adding the volumes of the two parts; apply this technique to solve real-world problems.

Learning Objective

I can calculate the height of a rectangular prism when given the volume and the other two dimensions.

Key Concepts

The volume of a 3D shape tells us how much space is inside of it.

Volume is measured in cubic units, such as inches cubed, which can be written as in³.

The formula for finding the volume of a prism is V = B x H, where B is the area of the base.

Practice Questions

This lesson includes 3 practice questions to reinforce learning.

View questions preview

1. The volume of a rectangular prism is 60 cubic inches. If the length is 5 inches and the width is 3 inches, what is the height of the prism?

2. A rectangular prism has a volume of 48 cubic centimeters. The width is 2 cm and the height is 8 cm. What is the length of the prism?

3. A toy box is shaped like a rectangular prism. It has a volume of 36 cubic feet. The length is 4 feet and the height is 3 feet. Which equation can be used to find the width of the toy box?

Educational Video

How to Measure Volume of Cubes and Right Prisms

Miacademy & MiaPrep Learning Channel

Create Your Own Lesson

Generate a custom lesson plan like this one in minutes with Insta~Lesson

Get Started Free