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Transit Trip Planner: Space and Materials worksheet preview

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Transit Trip Planner: Space and Materials

Solve area, volume, and surface area problems for bus and subway spaces, including composite figures 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 find areas of triangular, quadrilateral, and composite polygonal transit spaces.
  • Students calculate volumes of cubes, rectangular prisms, triangular prisms, and composite solids.
  • Students calculate exposed surface areas and justify material estimates for transit fixtures.

How to use

Have students sketch and label figures described in words, then solve independently. Discuss which surfaces need covering and why equal volumes need not have equal surface areas.

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

Transit Trip Planner: Space and Materials

Use geometry to plan bus stops, subway transfer spaces, and information displays.

Plan the Transfer Space

A city trip-planning team is reviewing bus and subway transfer areas. Find each area or material cost. Show your calculations on separate paper.

1.
The shaded rectangles form an L-shaped waiting area beside a bus stop. Each grid square represents 1 m². The rectangles share an edge but do not overlap.

What is the total shaded area?   m²

2.
A triangular sign points toward the subway entrance. Its base is 1.4 m, and its perpendicular height is 0.8 m. Reflective film covers one face.

How much reflective film is needed?   m²

3.
A subway entrance has a trapezoidal floor section. Its parallel sides measure 6 m and 10 m, and the perpendicular distance between them is 3 m. What area needs new flooring?
  • A. The area is 18 m².
  • B. The area is 30 m².
  • C. The area is 48 m².
  • D. The area is 24 m².

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