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2 Dimensions of Shapes Lesson, Worksheet & Solution Guide Release 7 A+ Interactive Math (By A+ TutorSoft, Inc.) info@aplustutorsoft.com Page 2 of 20

3 ABOUT THE LESSON, This is one of several lessons that is in 1 st Grade Geometry Unit. The lesson includes the worksheet to practice problem solving to master the concept taught in the lesson. The solution guide provides solution steps to each problem on the worksheet with appropriate visuals to further reinforce the math concept taught in the lesson. For a complete list of Unit Lessons and other full curriculum products, please visit our publisher page on CurrClick.com. Copyright 2014 A+ TutorSoft Inc., All Rights Reserved. No part of this publication may be reproduced, distributed, or transmitted in any form or by any means, including photocopying, recording, or other electronic or mechanical method, without the prior written permission of A+ TutorSoft Inc. Printed in the United States of America 2013, Page 3 of 20

4 Page 4 of 20

5 Dimensions of Shapes Plane shapes and solid shapes can be described by how many dimensions they have. A dimension is basically a line that goes in one direction. For example, this juice box has 3 lines going in different directions, which are labeled length, width and height. So, this juice box has 3 dimensions and is called a 3-dimensional shape. A shape can have 0, 1, 2 or 3 dimensions. To determine how many dimensions a shape has, we must determine how many lines the shape has. Page 5 of 20

6 Let s start with a 0-dimensional shape. If a shape has 0 dimensions, then it cannot have length, width or height. Therefore, the only 0-dimensional shape is a point because a point does not have any lines. In Geometry, a point is not a thing, but a place or a specific location in space. A line is a collection of points along a straight path that goes on forever in both directions. A line only has length, not width or height. Since it only has one dimension, a line is a 1-dimensional shape. How many dimensions does a square have? How about a square, how many dimensions does a square have? Fabulous! A square has 2 lines, length and width, therefore a square is a 2-dimensional shape. Shapes that have 2 dimensions have length and height or if we lay it flat, length and width. We use width to describe one of the lines in the rectangle here because it is a plane shape, which is a flat shape. Page 6 of 20

7 All plane shapes have 0, 1 or 2-dimensions. All solid shapes have 3 dimensions; length, width and height. So, this is what our chart looks like now. Let s practice identifying how many dimensions shapes have. How many dimensions do you think a rectangular prism has? You are doing great! A rectangular prism has 3 dimensions; length, width and height. Therefore a rectangular prism is a 3-dimensional shape. Page 7 of 20

8 How many dimensions does a triangle have? Right! A triangle has length and height, but no width. So, a triangle has 2 lines, or 2 dimensions. Therefore, a triangle is a 2-dimensional shape. How many dimensions do you think a pyramid has? You are doing great! A pyramid has 3 dimensions; length, width and height. Therefore, a pyramid is a 3-dimensional shape. Which shape below has 2 dimensions? Right! A square has 2 dimensions; length and width. Which shape below has 3 dimensions? Right! A cone has 3 dimensions; length, width and height. Page 8 of 20

9 Which shape below has 3 dimensions? Right! A cylinder has 3 dimensions; length, width and height. Which shape below has 2 dimensions? Right! A rectangle has 2 dimensions; length and width. Which shape below has 3 dimensions? Right! A sphere has 3 dimensions; length, width and height. You did a fantastic job identifying 0, 1, 2 and 3 dimensional shapes. If you need more help, please go back and review this lesson again. Page 9 of 20

10 Q1. What is a dimension? A. Length B. Width C. Height D. All of the above Name: Worksheet Dimensions of Shapes Q2. Which of the following is true? A. All shapes are 3-dimensional shapes. B. All shapes are 2-dimensional shapes. C. All shapes are 1, 2, or 3-dimensional shapes. D. All shapes are 0, 1, 2, or 3-dimensional shapes. Q3. How many dimensions does a line have? Q4. How many dimensions does a circle have? Q5. Which of the following is a 2-dimensional shape? A. B. C. D. All of the above Page 10 of 20

11 Q6. Which of the following is a 3-dimensional shape? A. B. C. D. All of the above Q7. Which choice shows only 3-dimensional shapes? A. B. C. D. All of the above Q8. Which choice shows only 2-dimensional shapes? A. B. C. D. All of the above Q9. Which shape has 2 dimensions? A. B. C. D. All of the above Page 11 of 20

12 Q10. Which shape has 1 dimension? A. B. C. D. All of the above Page 12 of 20

13 Q1. What is a dimension? A. Length B. Width C. Height D. All of the above Worksheet Solution Guide Dimensions of Shapes Solution: The correct answer is choice D. A dimension is either length, width or height. Therefore, the correct answer is choice D. Q2. Which of the following is true? A. All shapes are 3-dimensional shapes. B. All shapes are 2-dimensional shapes. C. All shapes are 1, 2, or 3-dimensional shapes. D. All shapes are 0, 1, 2, or 3-dimensional shapes. Solution: The correct answer is choice D. All shapes are 0, 1, 2, or 3-dimensional shapes. Page 13 of 20

14 Therefore, the correct answer is choice D. Q3. How many dimensions does a line have? Solution: The correct answer is 1. All shapes have either 0, 1, 2, or 3 dimensions. A line only has length, not width or height. So, a line only has 1 dimension. Therefore, the correct answer is 1. Page 14 of 20

15 Q4. How many dimensions does a circle have? Solution: The correct answer is 2. All shapes have either 0, 1, 2, or 3 dimensions. A circle has length and width, but not height. So, a circle has 2 dimensions. Therefore, the correct answer is 2. Q5. Which of the following is a 2-dimensional shape? A. B. C. D. All of the above Solution: The correct answer is choice D. All shapes have either 0, 1, 2, or 3 dimensions. Page 15 of 20

16 All of the given shapes have 2 dimensions. Therefore, the correct answer is choice D. Q6. Which of the following is a 3-dimensional shape? A. B. C. D. All of the above Solution: The correct answer is choice C. All shapes have either 0, 1, 2, or 3 dimensions. Page 16 of 20

17 A cube is a 3-dimensional shape. Therefore, the correct answer is choice C. Q7. Which choice shows only 3-dimensional shapes? A. B. C. D. All of the above Solution: The correct answer is choice A. Page 17 of 20

18 Therefore, the correct answer is choice A. Q8. Which choice shows only 2-dimensional shapes? A. B. C. D. All of the above Solution: The correct answer is choice A. Therefore, the correct answer is choice A. Q9. Which shape has 2 dimensions? A. B. C. D. All of the above Page 18 of 20

19 Solution: The correct answer is choice B. All shapes have either 0, 1, 2, or 3 dimensions. All of the given shapes have 2 dimensions. Therefore, the correct answer is choice B. Q10. Which shape has 1 dimension? A. B. C. D. All of the above Solution: The correct answer is choice A. All shapes have either 0, 1, 2, or 3 dimensions. Page 19 of 20

20 A line only has length, not width or height. So, a line only has 1 dimension. Therefore, the correct answer is choice A. Page 20 of 20

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