Student Guide. (SG pp ) Questions *Shapes will vary but each must have a volume of. 12 cm 3. One sample shape:

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1 Answer Key Lesson 7: Problem Solving with Student Guide Problem Solving with of Boxes Here are 12 cubic centimeters. A cubic centimeter is the volume of cube that is 1 centimeter long on each side. Problem Solving with (SG pp ) Questions *Shapes will vary but each must have a volume of One sample shape: These 12 cubic centimeters can be put together face-to-face to make several different shapes. Each of the shapes above has a volume of 12 cubic centimeters. This is sometimes written You can think of volume as the space in an object. 1. Use 12 cubes to make two more shapes with a volume of A. 5 3 B Problem Solving with SG Grade 5 Unit 4 Lesson Student Guide - Page Five centimeter cubes are put together to form one row. A. What is the volume of the row? B. What is the length of the row? 3. Two rows of 5 centimeter cubes are put together to form a layer. What is the volume of one layer? 4. Three of these layers are stacked. What is the volume of this box? 196 SG Grade 5 Unit 4 Lesson 7 Problem Solving with Student Guide - Page TG Grade 5 Unit 4 Lesson 7 Answer Key

2 Answer Key Lesson 7: Problem Solving with 5. A.* 3 B.* 3 C.* 9 3 D.* 4 E.* *12 cubes 7. A.* 12 3 B.* Boxes will vary but should have a volume of One sample box: 5. Find the volume of the box pictured below. A. How many centimeter cubes are in one row? B. How many rows are in one layer? C. What is the volume of one layer? D. How many layers are in the box? E. What is the volume of the box? 6. The volume of a box is The box has 5 layers of centimeter cubes. How many centimeter cubes are in each layer? 7. Find the volume of the box pictured below. A. Find the volume of one layer. Problem Solving with SG Grade 5 Unit 4 Lesson B. Find the volume of box. 8. Find a different way to organize 60 3 into a box. Draw a sketch of your box. Use the of Tanks pages in the Student Activity Book for more practice with finding volume. Student Guide - Page 197 TG Grade 5 Unit 4 Lesson 7 Answer Key 2

3 Answer Key Lesson 7: Problem Solving with Homework Section (SG pp ) Questions 1 5 Find the volume of each box ft m 3 9 ft. 16 ft. 4 ft in A m 3 m B. 5 C. 10 D. 3 E F G is a reasonable estimate. The numbers are close to m 198 SG Grade 5 Unit 4 Lesson 7 Problem Solving with Student Guide - Page in. 8 in. 35 in. 5. Copy and complete the table. A. B. C. D. E. Height Width Length 7 5 F. Show or tell how you solved Question 5C. 3 G. A box is Which is the best estimate for the volume? Explain your thinking Problem Solving with SG Grade 5 Unit 4 Lesson Student Activity Book - Page TG Grade 5 Unit 4 Lesson 7 Answer Key

4 Answer Key Lesson 7: Problem Solving with Student Activity Book of Tanks (SAB pp ) Questions Students will construct a tank. of Tanks 1. Use the following steps to make a tank that is Cut out the grid. Color a 2 2 square in each corner. Cut off the 2 2 squares in each corner. Fold to make a tank (a box without a top). Fold Fold Problem Solving with SAB Grade 5 Unit 4 Lesson Student Activity Book - Page A B C ; The width and length are 9. D ; The width and length are 7. E ; The width and length are 5. F ; The width and length are 3. G. 7 3 ; The width and length are The tank that is 3 tall has the greatest volume because * Possible response: Professor Peabody cannot make that box from a grid. The paper needs to be a least What is the volume of the 2 11 tank? 3. Work with a group of students to make other tanks from a grid. Record the volume of each tank below. A. B. C. D. E. F. G. Height Width Length Which tank in Question 3 has the largest volume? Show or tell how you know. 5. Professor Peabody said he made a tank from the 15 by 15 grid with a height of 8. Draw and label a picture of his tank. Problem Solving with SAB Grade 5 Unit 4 Lesson Student Activity Book - Page 181 TG Grade 5 Unit 4 Lesson 7 Answer Key 4

5 Answer Key Lesson 7: Problem Solving with 6. Use a calculator to complete the table. Each shape is a box. Height Width Length A B. 10 yd. 12 yd. yd. 960 yd. 3 C. in. 45 in. 70 in. 47, 250 in. 3 D. 117 ft. 98 ft. ft. 573, 300 ft. 3 E ,000 3 F. m 6.5 m 5.5 m 429 m 3 6. A B. 8 yd. C. 15 in. D.* 50 ft. E. 50 F. 12 m G = 8 yd. H seems most reasonable. The lengths are close to = 1125 G. Show or tell how you solved Question 6B. H. A tank is Circle the best estimate for the volume. Explain your thinking SAB Grade 5 Unit 4 Lesson 7 Problem Solving with Student Activity Book - Page 182 Problems Problems (SAB pp ) Questions Two boxes are put together in the following sketch. Find the volume of the boxes in the sketch Find the volume of the cube in the sketch Problem Solving with SAB Grade 5 Unit 4 Lesson Student Activity Book - Page TG Grade 5 Unit 4 Lesson 7 Answer Key

6 Answer Key Lesson 7: Problem Solving with The volume of this cube is a little larger than length 3 ; width 3 ; height 3 3. What is the volume of a 10 cube? 4. A cube has an edge length of Choose your best prediction for the volume of this cube. The volume of this cube is a little smaller than 1, The volume of this cube is much smaller than 1, The volume of this cube is 1, The volume of this cube is a little larger than 1, The volume of this cube is much larger than 1, The volume of this cube is Find the length, width, and height of the cube. Include units. 184 SAB Grade 5 Unit 4 Lesson 7 Problem Solving with Student Activity Book - Page A B C. 3 D. 3 E The following shape is built from a white box and a shaded cube. The volume of the shape is 72 3.? Use the following steps to find the height of the white box. Include units. A. Find the volume of the cube. B. Find the volume of the white box. C. What is the length of the white box? D. What is the width of the white box? E. Find the height of the white box. Problem Solving with SAB Grade 5 Unit 4 Lesson Student Activity Book - Page 185 TG Grade 5 Unit 4 Lesson 7 Answer Key 6

7 Answer Key Lesson 7: Problem Solving with 7.*30 7. The shape in the sketch is built from two identical cubes and a small white box. The volume of the shape is 1,985, Find the height of the small white box. Show your work. 95? Height of the white box 186 SAB Grade 5 Unit 4 Lesson 7 Problem Solving with Student Activity Book - Page 186 Multiply to Find 1. Find the volume to complete the table. Include labels. A. B. C. D. E. F. Height 15 ft m 200 in. 42 yd. 25 m Width 5 ft m 500 in. 8 yd. 10 m 2. The shape in the sketch is built from two smaller boxes. The shape has a volume of 80, Find the volume of the shaded box. Length 30 ft. 5 9 m 50 in. 21 yd. 40 m Multiply to Find (SAB pp ) Homework Questions A ft 3. B C m 3 D. 5,000,000 in 3. E yd 3. F. 10,000 m ,000 3 Problem Solving with SAB Grade 5 Unit 4 Lesson Student Activity Book - Page TG Grade 5 Unit 4 Lesson 7 Answer Key

8 Answer Key Lesson 7: Problem Solving with ; in 3 ; Possible response: The shape in Question 4. The boxes are a lot larger than those in Question The figure is built from three cubes. Find the volume of the entire figure. Show your work and include unit. 4. Another figure is built from three cubes. Find the volume of the entire figure. Show your work and include units. 6 in. 5 in. 1 in. 5. Look at the shapes in Questions 3 and 4. Which shape will hold more water? Explain your thinking. 188 SAB Grade 5 Unit 4 Lesson 7 Problem Solving with Student Activity Book - Page 188 Teacher Guide Confused Contessa Finds (TG) * Contessa is incorrect. To find the volume of a 5 cube, she incorrectly multiplies 3, but that is not the same as Confused Contessa Finds Contessa is finding the volume of this cube. 5 5 Here is her thinking: Teacher Guide 5 The width is 5. The height is 5. The length is 5. So the volume is 5 3 = Discuss Contess s solution with a partner. Do you agree with Contessa? Why or why not? Master TG Grade 5 Unit 4 Lesson 5 TG Grade 5 Unit 4 Lesson 7 Answer Key 8

9 Answer Key Lesson 7: Problem Solving with Find the 1. Both boxes have the same volume. Find the height of Box B. Show or tell how you solved the problem. 20 Height of Box B 2. The shape in the sketch is built from three cubes. Find the volume of the shape. Show or tell how you solved the problem. 18 Box A 7? Box B Find the (TG p. 1 2) Questions * 14 ; Possible response: Both boxes have the same volume. Box A is Box B has a length of 15 and a width of To find the height, I divided the volume, by and got * ; Possible response: of largest cube: of smallest cube: To find the length of the medium cube: = 4 of the medium cube: of the shape: TG Grade 5 Unit 4 Lesson 7 Assessment Master Teacher Guide - Page 1 Find the Feedback Box Expectation Check In Comments Solve multistep problems using addition, subtraction, multiplication, and division. E7 Use multiplication and division strategies to find the volume of boxes. E9 MPE1. Know the problem. I read the problem carefully. I know the questions to answer and what information is important. Yes... Yes, but... No, but... No... MPE2. Find a strategy. I choose good tools and an efficient strategy for solving the problem. MPE5. Show my work. I show or tell how I arrived at my answer so someone else can understand my thinking. MPE6 Use labels. I use labels to show what numbers mean. Assessment Master TG Grade 5 Unit 4 Lesson 5 2 Teacher Guide - Page 2 9 TG Grade 5 Unit 4 Lesson 7 Answer Key