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Game Studio: Test the Slice Levels

Identify and compare cross sections of prisms and pyramids while testing geometric objects for video game levels.

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

About this worksheet

What students practice

Students identify cross-sectional shapes from the position of a slicing plane.
Students use face intersections and slice outlines to describe cross sections.
Students evaluate claims about which solids can produce a given cross section.

How to use

Use after introducing cross sections. Have students trace each cut mentally or with solid models, then discuss the final reasoning task.

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

Game Studio: Test the Slice Levels

Describe the flat shapes revealed by cuts through solid game objects.

Test the Game Objects

A studio is balancing a game in which players slice solid objects. A cross section is the flat region where a slicing plane meets a solid. Use the stated cuts, not the viewing angle of a picture.

A checkpoint object is a right rectangular pyramid. Its base measures 14 units by 9 units. A plane cuts between the base and apex, parallel to the base. Which description fits the cross section?

A. It is a rectangle the same size as the base.
B. It is a rectangle with unequal adjacent sides.
C. It is a square with four equal sides.
D. It is a triangle with three straight sides.

A bonus object is a triangular pyramid: it has one triangular base and three triangular side faces. A plane cuts its interior parallel to its base. What shape should the game display?

A. The game should display a rectangle.
B. The game should display a triangle.
C. The game should display a hexagon.
D. The game should display a pentagon.

Another cut through a triangular pyramid avoids every vertex. It intersects four edges and makes one line segment on each of the pyramid's four faces.

How many sides does this cross section have? sides

The preview shows the first questions. Unlock the worksheet to see all of it.