Math 6/7 Unit 10 - GEOMETRY - Study Guide (SOL 6.10) Find the perimeter of the following (include the correct units): 1) 2) 5.3 cm 15 ft 15 ft 10.6 cm 18 ft P = P = Solve the following (include the correct units): 3) Ryan wants to put a fence around his rectangular yard that measures How many feet of fencing will he need? 3 6 4 ft by 5 4 8 ft. Find the area of the following. Round your answer to the nearest tenth, if necessary: (include correct units) 6 ft 4) 5) 8 ft 15 yd A = 16 yd A = Solve the following. Please round your answer to the nearest tenth, if necessary. (include the correct units): 6) Hailey is making a triangular pennant. The height of the pennant is going to be 9 mm, while the base is going to be 7.9 mm. How much fabric will she need? 7). How many square feet of sun proof fabric do you need to buy to cover a rectangular window that measures 3 feet by 5 feet?
Solve. Use 3.14 for π. Round your answer to the nearest tenth, if necessary. (include the correct units) Find the circumference of the following: Find the area of the following: 8) 9) 17.6 mm 35 in. C = A = 10) A city s park has a diameter of 2.5 mi. The city would like to put a fence around this park. How long would the fence need to be? 11) A swimming pool has a diameter of 15 m. How big would a cover have to be to protect the pool during the winter? Find all the possible names to classify each quadrilateral. Circle the best name. 12. 13. Determine whether each statement is sometimes, always, or never true. 14. A quadrilateral is a rhombus. 15. A square is a rectangle. 16. A trapezoid is a parallelogram.
Find the value of x. Then find the missing angle measures. 17. 18. 75 150 92 19. 20. Find the volume of each rectangular prism to the nearest tenth. 21. 22. 23. The height of a fish tank is 10 inches and the base measures 20 inches by 12 inches. What volume of water can the tank hold when full?
Find the Surface Area of each rectangular prism to the nearest tenth. 24. 25. Solve. Round your answer to the nearest tenth, if necessary. 26. A box is 6 in. by 9 in. by 2 in. How many square inches of wrapping paper would it take to gift wrap this box? Find the Surface Area and Volume of each cylinder to the nearest tenth. 27. Surface Area Volume 28. Surface Area Volume
Solve. 29. A soda can has a diameter of 12.7 inches and a height of 4.8 inches. How much soda can the can hold? 30. The original width of a box was 5 cm. Its volume was 40 cm 3. If the width becomes 15 cm, but all other dimensions remain the same, what is the new volume? Explain. 31. A brick factory is planning to create a new brick prototype with a volume of 48 in 3. The designers did not have enough clay, so they decided to cut the length in half. Calculate the volume of the new brick. 32. Bob wants to display some of his photographs. Which has more surface area, a 4 inch by 4 inch by 4 inch photo cube, or a 3 inch by 4 inch by 5 inch prism? Find each surface area and explain. 33. How much soup can a Tupperware container that is 10.6 inches long, 7.7 inches wide, and 4.3 inches high hold? 34. Find the perimeter of the figure below. 35. Find the area of the figure below.
Grade 7 Mathematics Formula Sheet 2009 Mathematics Standards of Learning Geometric Formulas A h b bh = 1 2 s w s l p = 4s p = 2l + 2w A = s A= lw r d C = 2πr C = πd 2 A = πr h l w V = lwh S. A. = 2lw + 2lh + 2wh r h 2 V = πr h 2 SA.. = 2πr + 2πrh Pi π 3.14 22 π 7 Abbreviations milligram mg gram g kilogram kg milliliter ml liter L kiloliter kl millimeter mm centimeter cm meter m kilometer km square centimeter cm 2 cubic centimeter cm 3 ounce pound quart gallon inch foot yard mile square inch square foot cubic inch cubic foot oz lb qt gal. in. ft yd mi. sq in. sq ft cu in. cu ft Area Circumference Perimeter Surface Area Volume A C p S.A. V Copyright 2011 by the Commonwealth of Virginia, Department of Education, P.O. Box 2120, Richmond, Virginia 23218-2120. All rights reserved. Except as permitted by law, this material may not be reproduced or used in any form or by any means, electronic or mechanical, including photocopying or recording, or by any information storage or retrieval system, without written permission from the copyright owner. Commonwealth of Virginia public school educators may reproduce any portion of this mathematics formula sheet for non-commercial educational purposes without requesting permission. All others should direct their written requests to the Virginia Department of Education, Division of Student Assessment and School Improvement, at the above address or by e-mail to Student_Assessment@doe.virginia.gov.