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Swim Practice: Laps, Space, and Surfaces

Solve swim-team planning problems using polygon area, prism volume, and surface area, including missing dimensions and material estimates.

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 solve area problems involving triangles, quadrilaterals, and composite polygons.
Students calculate volumes of cubes, triangular prisms, and composite rectangular prisms.
Students use surface area to find missing dimensions and estimate covering materials.

How to use

Use after teaching area, volume, and surface area formulas. Have students sketch solids and label covered faces before calculating, then discuss the final reasoning task.

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.

Preview

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Name Date

Swim Practice: Laps, Space, and Surfaces

Use geometry to plan practice spaces and equipment.

Practice Layouts

Solve each area problem. Use perpendicular heights, and show your calculations on separate paper.

For a timed lap session, the swim team reserves three adjacent rectangular lanes. Each lane is 25 m long and 2.5 m wide. What total area of the water's surface is reserved?

A. 62.5 m²
B. 75 m²
C. 187.5 m²
D. 206.25 m²

A lap-goal chart is a parallelogram with a base of 24 cm and a perpendicular height of 9 cm. Each completed practice earns a sticker covering 6 cm². Stickers cover the chart completely without gaps or overlaps.

How many stickers cover the chart? stickers

The team makes four identical octagonal signs for timed practice stations. Each sign can be divided into eight nonoverlapping triangles. Every triangle has a base of 5 cm and a perpendicular height of 6 cm. Film covers one face of each sign. Ignore waste.

How much film is needed for all four signs? cm²

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