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Track Results Board: Slice Designs

Identify and describe cross sections of prisms and pyramids while planning a middle school track meet results board.

Grade 7MathInteractive · Printable

Aligned to7.G.A.3

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What’s included

Single worksheet
Auto-graded online
1 Common Core standard
Printable answer key
13 questions
Classroom-ready

Details

Format: Interactive · Printable
Grade: Grade 7
Subject: Math
Question types: Fill in the blank, Multiple choice, Circle the answer, Sorting, Short answer, Drawing

About this worksheet

What students practice

Students identify cross-sectional polygons using the faces intersected by a slicing plane.
Students describe cross sections of rectangular prisms and pyramids for different slicing directions.
Students distinguish a two-dimensional cross section from a remaining three-dimensional piece.

How to use

Use after introducing slicing planes. Have students sketch the described cuts on scrap paper, then discuss how intersected faces determine the cross section's sides.

Curriculum

Common Core standard covered

7.G.A.3

Describe the 2-D shapes made by slicing 3-D figures such as right rectangular prisms and pyramids.

Preview

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Name Date

Track Results Board: Slice Designs

Describe the flat shapes revealed by cuts through solid display models.

Trace the Slice Boundary

The track meet crew is designing solid markers for its results board. A cross section is the flat region where a plane cuts a solid. Unless stated otherwise, each cut avoids vertices and edges, and each face it crosses contributes one side.

An angled cut through a rectangular-prism marker crosses its top, bottom, front, back, and right faces. It misses the left face. What polygon is the cross section?

A. The cross section is a pentagon.
B. The cross section is a quadrilateral.
C. The cross section is a hexagon.
D. The cross section is a triangle.

A triangular pyramid has four triangular faces. A plane separates two of its vertices from the other two and crosses all four faces. Which shape appears on the cut surface?

A. A hexagon appears on the cut surface.
B. A pentagon appears on the cut surface.
C. A triangle appears on the cut surface.
D. A quadrilateral appears on the cut surface.

A pyramid-shaped results marker has a pentagonal base and five triangular side faces. A slicing plane crosses all five side faces but does not reach the base.

How many sides does the cross section have? sides

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