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Moving Day: Truck Load Plans worksheet preview

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Moving Day: Truck Load Plans

Find rectangular-prism volumes with fractional edges using cube models, base areas, and moving-truck packing decisions.

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, Circle the answer, Short answer

About this worksheet

What students practice

  • Students connect packing with fractional-edge cubes to volume in cubic units.
  • Students find rectangular-prism volumes using V = lwh and V = Bh.
  • Students apply fractional volume calculations to moving-truck packing decisions.

How to use

Have students label units and show fraction calculations on scratch paper. Discuss why changing the size of the measuring cubes changes the count but not the volume.

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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Name Date

Moving Day: Truck Load Plans

Use cube packing and volume formulas to plan a moving company's load.

1. Measure with Packing Cubes

The moving crew uses cube models to plan rectangular loads. Cubes fit without gaps or overlaps. Write fractions in simplest form.

1.
This model has space for 5 cubes along its length, 2 along its width, and 3 layers. Only the bottom layer is filled. Each small cube has an edge length of 1/4 ft.

How many more small cubes complete the model?   cubes

2.
When the model in question 1 is completely filled, it contains 30 cubes with edge lengths of 1/4 ft.

What is the completed model's volume?   ft³

3.
A rectangular packing space measures 2 ft by 1 ft by 2/3 ft. The crew fills it with cubes whose edges are 1/3 ft long. Which record correctly gives the number of cubes along each edge and the total?
  • A. There are 6 by 3 by 3 cubes, for 54 cubes total.
  • B. There are 2 by 1 by 2 cubes, for 4 cubes total.
  • C. There are 6 by 3 by 1 cubes, for 18 cubes total.
  • D. There are 6 by 3 by 2 cubes, for 36 cubes total.

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