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Tournament Scoring: Cross-Section Checks worksheet preview

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Tournament Scoring: Cross-Section Checks

Identify and compare cross sections of prisms and pyramids used in youth basketball tournament scoring displays.

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, Matching, Short answer

About this worksheet

What students practice

  • Students identify two-dimensional cross sections of right rectangular prisms and square pyramids.
  • Students relate the direction of a slicing plane to the shape and size of a cross section.
  • Students explain why a cross section need not have the same shape as a face of the solid.

How to use

Use after introducing slicing planes. Have students sketch each described cut on scrap paper, then compare their reasoning about prisms and pyramids.

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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Tournament Scoring: Cross-Section Checks

Identify the flat shapes made by slicing solid display models.

Score Display Blocks

The tournament crew is planning solid blocks for a basketball scoring display. A cross section is the flat region where a plane cuts a solid. Consider only that region, not the pieces left over. Choose the most specific shape name.

Use this model for Questions 1–3. The scoring block is a right rectangular prism. Its horizontal base is 12 cm long and 8 cm wide, and its height is 6 cm. Each cut passes through the interior.
1.
A horizontal plane cuts the block parallel to its base. Which description gives the cross section?
  • A. A rectangle measuring 12 cm by 6 cm.
  • B. A square measuring 8 cm by 8 cm.
  • C. A rectangle measuring 12 cm by 8 cm.
  • D. A rectangle measuring 8 cm by 6 cm.
2.
A vertical plane cuts the block parallel to a face measuring 8 cm by 6 cm. Which description gives the cross section?
  • A. A rectangle measuring 8 cm by 6 cm.
  • B. A rectangle measuring 12 cm by 6 cm.
  • C. A rectangle measuring 12 cm by 8 cm.
  • D. A square measuring 6 cm by 6 cm.

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