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Phone Plan Comparison: Build the Display

Solve geometry problems involving signs, phone stands, and packaging for a phone and data plan comparison booth.

Grade 7MathInteractive · Printable

Aligned to7.G.B.6

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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 7
Subject: Math
Question types: Fill in the blank, Multiple choice, Short answer

About this worksheet

What students practice

Students find areas of triangles, quadrilaterals, and composite polygons in real-world designs.
Students calculate volumes of cubes, rectangular prisms, triangular prisms, and composite solids.
Students calculate surface areas and account for open tops and joined faces.

How to use

Use after teaching area, prism volume, and surface area. Have students sketch and label solid figures, then discuss how hidden faces affect material estimates.

Curriculum

Common Core standard covered

7.G.B.6

Solve real-world problems about area, volume, and surface area of figures made of triangles, quadrilaterals, polygons, cubes, and prisms.

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Name Date

Phone Plan Comparison: Build the Display

Use area, volume, and surface area to plan a phone comparison booth.

Signs and Panels

Find the area needed for each design. Figures are not necessarily drawn to scale.

Students are building a booth where families can compare phone and data plans. A rectangular film covers a phone's flat front face, which measures 15 cm by 7 cm. A 2 cm by 1 cm rectangular camera opening is cut out. The opening lies entirely inside the film.

What area of film remains? cm²

A data plan label is shaped like a trapezoid. Its parallel sides measure 12 cm and 8 cm. The perpendicular distance between them is 5 cm.

What is the label's area? cm²

The shaded rectangles form one L-shaped panel for displaying plan features. Each grid square represents 1 dm². The rectangles share an edge but do not overlap.

What is the area of the entire L-shaped panel? dm²

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