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Tournament Score Desk: Volume Checks

Find rectangular prism volumes with fractional edges using cube packing, V = lwh, and V = Bh in basketball scoring contexts.

Grade 6MathInteractive · Printable

Aligned to6.G.A.2

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What’s included

Single worksheet
Auto-graded online
1 Common Core standard
Printable answer key
13 questions
Classroom-ready

Details

Format: Interactive · Printable
Grade: Grade 6
Subject: Math
Question types: Fill in the blank, Multiple choice, Short answer

About this worksheet

What students practice

Students find prism volumes by counting fractional-edge cubes and multiplying by each cube's volume.
Students use V = lwh and V = Bh to find volumes of rectangular prisms with fractional edge lengths.
Students apply volume calculations to tournament scoring materials and storage decisions.

How to use

Use after introducing volume with fractional edge lengths. Have students show calculations on separate paper, then discuss how cube packing connects to both formulas.

Curriculum

Common Core standard covered

6.G.A.2

Find the volume of a rectangular prism with fraction edge lengths by packing unit cubes and by using V = lwh or V = Bh.

Preview

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Tournament Score Desk: Volume Checks

Use cube packing and volume formulas to plan tournament scoring materials.

Cube Packing Models

The tournament crew uses rectangular blocks to hold bracket labels and score cards. Each diagram shows a completely filled prism. Use the stated cube edge length, not the drawing's size.

A bracket-label block is packed with cubes in 3 columns, 2 rows, and 3 layers. Each small cube has an edge length of 1/2 inch.

How many small cubes fill the block? cubes

Each cube in the bracket-label block above has an edge length of 1/2 inch. Which calculation gives the block's volume in cubic inches?

A. 18 × 1/8 = 2 1/4
B. 18 × 1/2 = 9
C. 18 × 1 = 18
D. 18 × 1/4 = 4 1/2

The crew repacks a prism with the same dimensions as the bracket-label block: 1 1/2 inches long, 1 inch wide, and 1 1/2 inches high. This time, each packing cube has an edge length of 1/4 inch.

How many of these smaller cubes fill the prism? cubes

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