Cross-sectional Shape of a Wooden Block
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Questions and Answers

If the cut is made along a red line that is directly in the center of the block, what are the dimensions of the newly exposed face?

2 inches by 4 inches

What is the maximum possible area of the newly exposed face, given the dimensions of the block?

12 square inches

If the cut is made such that the newly exposed face is a square, what is the length of one of the sides of the square?

3 inches

If the cut is made at a distance of 1 inch from the edge of the block, what is the area of the newly exposed face?

<p>8 square inches</p> Signup and view all the answers

Given that the red line is always parallel to the 2-inch and 4-inch sides, how many possible different shapes can be obtained by making a cut along the red line?

<p>Two</p> Signup and view all the answers

Flashcards

Rectangle

A flat surface with four sides, where all angles are right angles.

Rectangular block

A three-dimensional object with six rectangular faces.

Parallel lines

A line on a surface that is always the same distance from another line.

Cutting through a block

A cut made through an object, exposing a new surface.

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Newly exposed face

The face that is newly exposed after a cut.

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Study Notes

Cross-sectional Shape of a Wooden Block

  • A block of wood is cut along a red line.
  • The exposed face is a rectangle.
  • The dimensions of the rectangle are 4 inches by 3 inches.

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Description

This quiz explores the geometric properties of a wooden block when cut along a specified line. Participants will analyze the resulting rectangular face and its dimensions. Assess your understanding of cross-sectional shapes and their measurements.

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