Mathematics Grade 7 15 min

Perimeter, area, and volume: changes in scale

Perimeter, area, and volume: changes in scale

What you'll learn

  • Calculate the new perimeter and area of 2D shapes when the side lengths are scaled by a given factor, and verify the results with at least 80% accuracy.
  • Explain how scaling the dimensions of a 2D shape affects its perimeter and area using mathematical reasoning, demonstrating understanding through written explanations with at least 3 complete sentences.
  • Predict the change in volume of a 3D object when its dimensions are scaled by a given factor, providing a numerical answer and justification for the prediction in at least 2 out of 3 scenarios.
  • Solve real-world problems involving scaling dimensions and its effect on perimeter, area, or volume, correctly answering at least 3 out of 4 application problems.

Tutorial Preview

1

A square's side length is scaled by 3. What happens to the perimeter?

2

A square's side length is scaled by 3. What happens to the area?

3

A cube's side length is scaled by 3. What happens to the volume?

Sample Practice Questions

Easy
A square has a side of 5. If the side is doubled, what is the new perimeter?
0.20
1.25
2.40
3.100
Easy
A square has a side of 5. If the side is doubled, what is the new area?
0.25
1.50
2.75
3.100
Easy
A cube has a side of 1. If the side is doubled, what is the new volume?
0.1
1.2
2.4
3.8

Want to practice and check your answers?

Sign up to access all questions with instant feedback, explanations, and progress tracking.

Start Practicing Free

More from Geometric measurement

Mathematics for other grades

Frequently asked questions

What grade level is "Perimeter, area, and volume: changes in scale"?

Perimeter, area, and volume: changes in scale is a Grade 7 Mathematics lesson on ExcelOS.

What will I learn in Perimeter, area, and volume: changes in scale?

You'll be able to: Calculate the new perimeter and area of 2D shapes when the side lengths are scaled by a given factor, and verify the results with at least 80% accuracy; Explain how scaling the dimensions of a 2D shape affects its perimeter and….

Is "Perimeter, area, and volume: changes in scale" free to practice?

Yes. You can read the tutorial preview for free, and signing up for a free ExcelOS account unlocks the full tutorial and all practice questions with instant feedback.

How many practice questions are included with Perimeter, area, and volume: changes in scale?

This lesson includes 25 practice questions across multiple difficulty levels, each with instant feedback and explanations.

Ready to find your learning gaps?

Take a free diagnostic test and get a personalized learning plan in minutes.