Volume Formulas Exit Ticket
5
i-Ready Lesson 3 • Session 1 NY-5.MD.5b
Volume Formulas Exit Ticket
Score / Feedback _____ / 4 pts
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Learning Target I can use layers, the area of the base (\(b\)), and formulas (\(V = \ell \times w \times h\) and \(V = b \times h\)) to find volume.
Problem 1 Word Problem • Layers & Base Area (1 pt)
Tiana is building a rectangular prism out of 1-inch unit cubes to make a model for a gift bag. She builds the bottom layer with 4 rows of cubes, and each row has 5 cubes. She then stacks more cubes to make a total of 3 layers.
a. Base area (\(b\)): How many cubes are in the bottom layer?
× = sq in.
b. Height (\(h\)): What is the height of the gift bag model in inches?
inches
c. Total volume (\(V = b \times h\)): Write an equation to find the total volume:
× = cubic inches
Problem 2 Apply Both Volume Formulas (1 pt)
A wooden storage chest has a length of 6 feet, a width of 2 feet, and a height of 4 feet. Find the volume of the chest using both formulas below.
Formula: \(V = \ell \times w \times h\)
\(V =\) × ×
Volume = \(\text{ft}^3\)
Formula: \(V = b \times h\)
\(b =\) × = sq ft
Volume = \(\text{ft}^3\)
\(\ell = 6\text{ ft}\) \(w = 2\text{ ft}\) \(h = 4\text{ ft}\)
Problem 3 Reflect & Explain (2 pts)
Carlos says: "The formula \(V = b \times h\) will give a different answer than \(V = \ell \times w \times h\) because you only multiply two numbers instead of three."
Do you agree or disagree with Carlos? Explain how the two formulas are alike and why they give the exact same volume.
