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Bus and Subway Space Checks

Find rectangular-prism volumes with fractional edges using cube packing and formulas in a city bus and subway planning context.

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
14 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 rectangular-prism volumes by packing cubes with fractional edge lengths.
Students use V = lwh and V = Bh with fractional measurements.
Students apply volume calculations to transit equipment and storage decisions.

How to use

Use after teaching fraction multiplication. Have students connect the cube models to the formulas, then complete the trip-planning decisions independently.

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.

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Name Date

Bus and Subway Space Checks

Use fractional cubes and volume formulas to check spaces for a city trip.

Packing Space

A trip-planning team is checking rectangular spaces for a bus and subway trip. All measurements describe usable inside space. Cubes fit without gaps or overlaps.

The team uses measuring cubes with edges of 1/2 m to check a bus storage bay.

What is the volume of one measuring cube? m³

This model shows the bus storage bay completely packed with cubes. Each cube has edges of 1/2 m. There are 4 cubes along the length, 2 along the width, and 2 layers.

What is the volume of the bay? m³

A subway equipment compartment is packed with cubes whose edges are 1/4 m. The model has 4 cubes along the length, 3 along the width, and 2 layers. Which equation correctly finds its volume in cubic meters?