Podcast
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?
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?
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?
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?
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?
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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?
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?
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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.