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Woodworking: Read the Cut Surfaces worksheet preview

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Woodworking: Read the Cut Surfaces

Identify and compare cross sections of wooden prisms and pyramids using cutting plans, side lengths, and boundary records.

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, Short answer

About this worksheet

What students practice

  • Students describe cross sections of prisms and pyramids from cutting plans.
  • Students classify cross sections using their sides, angles, and intersected faces.
  • Students use cross-section properties to evaluate woodworking plans.

How to use

Use after introducing plane cross sections. Have students trace each imagined cut around the solid before answering; discuss the final claim together.

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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Woodworking: Read the Cut Surfaces

Use cutting plans and boundary records to describe cross sections.

Inspect the Cut Surfaces

A cross section is the flat surface where a plane slices a solid. All cuts pass through the wood's interior. Use the cutting records, not the perspective of a solid sketch, to decide lengths and angles.

1.
In woodworking class, Elena records the boundary of a cut through a rectangular block. The sides are listed in order around the cut surface. What is the most specific name for this cross section?
Cut-Surface Inspection
PropertyRecord
Side lengths5, 9, 5, 9 cm
Interior anglesAll 90°
  • A. The cross section is a rhombus.
  • B. The cross section is a square.
  • C. The cross section is a triangle.
  • D. The cross section is a rectangle.
2.
A wooden wedge is a right triangular prism. Its triangular end faces are right triangles with side lengths 5 cm, 12 cm, and 13 cm. A cut passes through the interior parallel to these end faces.

How many right angles does the cross section have?  

3.
A decorative wooden cap is a pyramid with a regular hexagonal base. A plane slices between the base and apex, parallel to the base. Which description fits the cut surface?
  • A. It is a pentagon with five equal sides.
  • B. It is a hexagon with six equal sides.
  • C. It is a triangle with three equal sides.
  • D. It is a rectangle with four right angles.

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