Covering and Surrounding Practice Answers
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1 Investigation Additional Practice. a. units, Area 8 square units b. 8 units, Area 33 square units c. 3 units, Area 33 square units d. units, 7 Area 7 square units 8. a. Students should draw and label a 0 rectangle. b. $ c. Amount of baseboard: feet; $ Ellen could be correct if she drew a 7 rectangle.. a. 8 b. 7 square c. Possible answers: Subdivide the figure into rectangles to find the area and to help find the perimeter.. a. Area: 6 square, : 6 b. Area: 0 square, : 6 c. Area: square, : 6 d. Area: 8 square, : 6 e. Area: 7 square, : 6 f. Area: 6 square, : 6 6. a. Area: square inches, : inches b. Area: square inches, : inches c. Area: 0 square, : 66 d. Area: square, : a. i. 00 rectangle ( units) ii. 0 0 rectangle (0 units) b. For a given area, the longest, skinniest rectangle has the greatest perimeter and the most square-like rectangle has the least perimeter. 8. a. Dimensions of possible rectangles Length 0 Width 0 Area (sq yd) 8 8 b. No. The largest perimeter possible with whole-number side lengths is yards for a -yard-by-0-yard rectangle. c. yard by 0 yards 9. a. $3.80 for an 8 6 rectangle; this pen is closest to a square. b. $83.30 for 8 rectangle; this pen is the longest and skinniest. c. Possible answer: A pen would have a perimeter of 3 and cost $7.. d. Possible answer: The 8 6 in part (a) would be best because it is the least expensive. 0. a. Not possible b. Yes, a rectangle c. Yes, a 3 rectangle d. Not possible
2 . Length Width Area (sq units) 7. Answers will vary, but should include a figure with a linear unit perimeter. Sample: Two are possible, a and a 3. There are no other whole numbers that sum to (which would then be doubled to get a perimeter of 0 units). a. Yes, a rectangle b. Yes, a 0 rectangle c. Not possible d. Yes, a 9 rectangle 3. a. a 0 0 rectangle (00 square units) b. a 9 rectangle (9 square units) c. Possible answer: a rectangle (7 square units) d. Possible answer: the 0 0 because it is the most open space for playing. a. 9 (The only whole-number divisors of 9 are and 9, so these must be the dimensions.) b. units c. 900 square units. a. b. 60 units 6. Answers will vary, but should include 33 shaded units. Sample: 8. a. foot 6 feet, feet 3 feet, feet 6 feet, 8 feet 8 feet b. 8 feet 8 feet 9. a. 3 cm cm, cm 7 cm, cm 7 cm, cm cm b. cm cm, cm 7 cm, 3 cm cm, cm 7 cm Skill: Area and of Rectangles. 6, square. 6 inches, 0 square inches 3., 36 square. 36 inches, 6 square inches. 60 meters, 6 square meters 6. feet, square feet 7. 6 millimeters, 9 square millimeters 8. 6 miles, 3, square miles 9a. 8 square 9b inches. 6 square meters. square square yards. 86 square. 3 units long, units wide, 7 square units 6.
3 Skill: Changing Area, Changing. 3 square meters. 7 square feet, 3 square feet, square feet, 6 square feet, 6 square feet, 7 square feet, 77 square feet, 80 square feet, 8 square feet feet by 00 feet Investigation Additional Practice. a., Area 0 square b. 3, Area 7 square c. 9, Area 7 square d., Area 0 square. a. square, 6 square and 8 square b. The height of each triangle is 3 times the height of the next smaller triangle. c. The area of each triangle is 3 times the 3. a. square, square and 8 square b. The base of each triangle is times the base of the next smaller triangle. c. The area of each triangle is times the. a. square, square b. The triangle should have base of 6 and height of 9. c. The height of each triangle is 3 times the height of the next smaller triangle. d. The base of each triangle is times the height of the next smaller triangle. e. The area of each triangle is 6 times the. A right triangle with a base of 6 inches and a height of inches, 9.6 inches 6. a. 8 b meters meters. inches Skill: Area of Triangles. square. 6 square feet 3. False. False. Area: 99 square ; perimeter: Area: 90 square miles; perimeter: square kilometers 8.,3 square yards 9., ;, 6; 3, meters 8 meters Investigation 3 Additional Practice. a. 38 units, Area 80 square units b. 6 units, Area 36 square units c. 6 units, Area 9 square units (Base is 8 units and height is approx. 8 units.). a. b. 0 square 3. a. b.. a. square, 6 square and 8 square b. The height of each parallelogram is 3 times the height of the next smaller 6
4 c. The area of each parallelogram is 3 times the area of the next smaller. a. square, square and 8 square b. The base of each parallelogram is twice the base of the next smaller c. The area of each parallelogram is twice the area of the next smaller 6. a. square, square b. The next parallelogram should have a base of 8 and a height of 9. c. The height of each parallelogram is three times the height of the next smaller d. The base of each parallelogram is twice the base of the next smaller e. The area of each parallelogram is six times the area of the next smaller 7. a. (, 0) b. 36 square units 8. a. Area: 6 square, : b. i. Area: square, : 8 ii. Area: square, : iii. Area: square, : 8 iv. Area: square, : 6 9. (, ) and (6, ), (, ) and (9, ) 0. a. 0 b First box: Area 36 square feet, 3 feet Second box: Area 3 square feet, 30 feet Investigation Additional Practice. i. a. 0 cm 0 cm 0 cm b.,800 cm c.,000 unit cubes ii. a. cm cm cm b. 0 cm c. unit cubes iii. a. cm cm cm b. 3 cm c. 8 unit cubes iv. a. 6 cm cm 30 cm b., cm c.,60 unit cubes. a. ft b. 3 feet; The sheet of cardboard can be divided into six 3 feet 3 feet squares. Each square is a face of the resulting box. c. 7 unit cubes 3. a. Four sides have area ft, and two sides have area ft. b. foot foot feet c. unit cubes. Answers will vary. Possible answer: 8 cm cm 0 cm; 8 cm cm cm; 8 cm cm cm. a. cm cm 6 cm b. 88 cm c. 8 cm 3 d. Answers will vary: Possible answers: cm 8 cm 3 cm, 9 cm ; cm cm 3 cm, 80 cm ; cm 8 cm 6 cm, cm 6. a. 08 in. b. It would take 6 cubes to fill the bottom layer and 8 3 cubes to fill the box. 7. a. cm 6 cm 8 cm b. 8 cm c. It would take cubes to make the bottom layer and 8 9 cubes to make the prism. 7
5 8. i. a. 9 cm b. cm 3 ii. a. 336 cm b. 396 cm 3 iii. a. 3 cm b. cm 3 9. Answers will vary, but must include nets that will form cubes. Sample: 0.. ft 6. ft, 3. ft ft, ft 8 ft. a., b in.. 36 ft. 0 in yd 7. 9 cm 8. 8 m 9.,60 ft 0. 3,0 in.. 7 mm. 30 in. yd yd yd Skill: Volume of a Box.,0 in ft ,9 cm 3., m 3. 3 m 3 Skill: Surface Area of a Box. Sample answers. 3 cm cm 8 cm cm 8
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