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Kitchen Space for Weekly Orders

Find rectangular-prism volumes with fractional edge lengths using cube packing, V = lwh, and V = Bh in a family restaurant kitchen.

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 connect fractional-edge cube packing to the volume of a rectangular prism.
Students use V = lwh and V = Bh to find volumes with fractional edge lengths.
Students use volume to make storage and preparation decisions for weekly restaurant orders.

How to use

Use after introducing fractional cubic units. Have students show their calculations on separate paper and explain how cube counts connect to volume 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.

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Kitchen Space for Weekly Orders

Use cube packing and volume formulas to plan a family restaurant's weekly orders.

Model the Storage Space

The Rivera family is planning its restaurant's weekly orders. Each model shows a rectangular prism packed without gaps. Use the stated cube edge length, not the drawing's size.

A model of a storage bin has 3 cubes along its length, 2 along its width, and 2 along its height. Each small cube has an edge length of 1/2 ft.

The bin holds small cubes. Each small cube has a volume of ft³. The bin's volume is ft³.

A second bin is modeled by 5 cubes along its length, 3 along its width, and 2 along its height. Each small cube has an edge length of 1/4 ft.

The bin's length is ft, its width is ft, and its height is ft. Its volume is ft³.

This model of a dry-goods bin contains 4 × 3 × 2 small cubes. Each small cube has an edge length of 1/2 ft. Which calculation gives the bin's volume in cubic feet?