Unit6Assessment.Geometry.Math5.19.20 Assessment ID: ib.2264605 Directions: Answer the following question(s). 1 Find the volume of the figure above. Use the formula V = l × w × h. A. B. C. D. 2 A. B. C. D. 3 A. B. C. D. 15 ft3 32 ft3 96 ft3 136 ft3 What is the volume of this rectangular prism in cubic feet? 486 ft3 81 ft3 54 ft3 24 ft3 What is the volume of the figure? 12 cubic units 12 square units 17 cubic units 17 square units Illuminate Itembank™ Generated On November 12, 2019, 5:26 AM PST Continue: Turn to the next page. Page 1 Unit6Assessment.Geometry.Math5.19.20 Assessment ID: ib.2264605 Directions: Answer the following question(s). 4 A. B. C. D. 5 What equation can be used to find the volume of the rectangular prism below? 5 × 2 × 3 = 30 5 + 5 + 5 + 5 = 20 5 × 3 = 15 5 + 3 + 2 = 10 Zoey is calculating the volume of this rectangular prism. Zoey calculates the volume as 16 cubic units because 8 units long + 5 units high + 3 units wide = 16 cubic units. Which of the following describes the mistake Zoey made in her calculation? A. B. C. D. Zoey is wrong because she calculated the volume 8 + 5 + 3 = 16 instead of 8 × 5 + 3 = 43. Zoey is wrong because she added all the dimensions instead of only adding the length and width. Zoey is wrong because she calculated the volume 8 + 5 + 3 = 16 instead of 8 + 5 – 3 = 10. Zoey is wrong because she added all of the dimensions instead of multiplying all of the dimensions. Illuminate Itembank™ Generated On November 12, 2019, 5:26 AM PST Continue: Turn to the next page. Page 2 Unit6Assessment.Geometry.Math5.19.20 Assessment ID: ib.2264605 Directions: Answer the following question(s). 6 Gaby has two boxes stacked on a shelf in her attic. What is the total volume of the boxes? A. B. C. D. 7 192 inches3 300 inches3 392 inches3 492 inches3 Collin has created a right rectangular prism out of unit cubes with the following dimensions. ● ● ● 8 unit cubes long 5 unit cubes wide 6 unit cubes high What will happen to the volume of the right rectangular prism Collin created if he removes half of the units in the length? A. B. C. D. The new volume will be half the original volume. The new volume will be twice the original volume. The new volume will be 4 times less than the original volume. The new volume will be 4 times more than the original volume. Illuminate Itembank™ Generated On November 12, 2019, 5:26 AM PST Continue: Turn to the next page. Page 3 Unit6Assessment.Geometry.Math5.19.20 Assessment ID: ib.2264605 Directions: Answer the following question(s). 8 Anika is calculating the volume of the following figure built out of unit cubes measuring 1 cubic inch each. Anika incorrectly calculates the volume as 31 in3 because there are 31 faces on this figure. Which of the following flaws can be found in Anika's answer and reasoning? A. Anika is wrong because the unit of measurement she used was cubic inches instead of square inches. The correct volume is 31 in2. B. Anika is wrong because the method of calculating the volume was counting faces instead of unit cubes. The correct volume is 30 in3. C. Anika is wrong because she did not count the faces from the underside, from the back, and from one side of the figure. The correct volume is 62 in3. D. Anika is wrong because the number of faces from the top of the figure should not have been counted, only the front and side. The correct volume is 16 in3. 9 Raquel states that it is impossible for any rectangular prism to have a volume of 18 in3. Select the two figures that prove Raquel's statement is incorrect. A. B. C. D. Illuminate Itembank™ Generated On November 12, 2019, 5:26 AM PST Continue: Turn to the next page. Page 4 Unit6Assessment.Geometry.Math5.19.20 Assessment ID: ib.2264605 Directions: Answer the following question(s). 10 Hailey made the following statement: "It is impossible to build a rectangular prism with a volume of 40 units3 if one side measures 5 units." Select the two figures below that prove Hailey's statement is false. A. B. C. D. 11 Mr. Jacobson's class is calculating the volume of the following rectangular prism. Which argument explains the correct method of finding the volume of this rectangular prism? A. Even though I cannot see all of the unit cubes that make up this figure, I know that a rectangular prism is a solid. I can count all the unit cubes and know that the volume of this figure is 24 units3. B. I can count 26 faces of all the unit cubes in the rectangular prism. This means the volume is 26 units3. C. I can count a total of 6 cubes on the top layer of this figure, which means every layer of this solid has 6 cubes. When I count each layer together, I know that the volume is 26 units3. D. There are some faces of this rectangular prism that I cannot see, but I know they are there. I can count a total of 26 faces and there are another 26 faces that I cannot see. So the total volume must be 52 units3. Illuminate Itembank™ Generated On November 12, 2019, 5:26 AM PST Continue: Turn to the next page. Page 5 Unit6Assessment.Geometry.Math5.19.20 Assessment ID: ib.2264605 Directions: Answer the following question(s). 12 Alice made the following figure with unit cubes. Alice claims that figures with the same volume must have the same number of cubes. Which of the following figures shows that Alice is correct? Pick TWO that are correct. A. B. C. D. E. Illuminate Itembank™ Generated On November 12, 2019, 5:26 AM PST Continue: Turn to the next page. Page 6 Unit6Assessment.Geometry.Math5.19.20 Assessment ID: ib.2264605 Directions: Answer the following question(s). 13 A. B. C. D. 14 What is the volume of the figure shown below? 28 cubic units 32 cubic units 45 cubic units 84 cubic units Mike needs to pack school supplies for the summer. He stacks two boxes on the table to start packing. What is the total volume of the boxes? A. B. C. D. 48 inches3 72 inches3 120 inches3 168 inches3 Illuminate Itembank™ Generated On November 12, 2019, 5:26 AM PST Continue: Turn to the next page. Page 7 Unit6Assessment.Geometry.Math5.19.20 Assessment ID: ib.2264605 Directions: Answer the following question(s). 15 A. B. C. D. 16 A. B. C. D. 17 A. B. C. D. 18 A. B. C. D. Cayden's dad is a long distance truck driver. He hauls containers that are 11 feet high, 9 feet wide, and 24 feet long. If he hauls 2 containers with his truck, then what is the combined volume of the 2 containers? 88 cubic feet 432 cubic feet 2376 cubic feet 4752 cubic feet What number sentence can be used to find the volume of the rectangular prism below? (3 × 6) + 2 = 20 3 × 6 = 18 6 × 2 × 1 = 12 6+2=8 Evan's mom stores his video games in a storage basket in his room. The storage basket measures 30 inches long, 20 inches wide, and 20 inches high. What is the volume, in cubic inches, of the storage basket? 70 600 1200 12,000 James is building a doghouse that measures 5 feet wide, 4 feet long, and 3 feet high. What is the volume, in cubic feet, of the doghouse? 12 15 20 60 Illuminate Itembank™ Generated On November 12, 2019, 5:26 AM PST Continue: Turn to the next page. Page 8 Unit6Assessment.Geometry.Math5.19.20 Assessment ID: ib.2264605 Directions: Answer the following question(s). 19 A. B. C. D. 20 A. B. C. D. 21 A. B. C. D. What number sentence can be used to find the volume of the rectangular prism below? 3×2=6 3+2+2=7 3+3+3=9 3 × 2 × 2 = 12 The standard moving box below has a length of 18 in., a height of 14 in., and a width of 12 in. What is the volume? 3024 cubic in. 252 cubic in. 216 cubic in. 44 cubic in. What is the volume of the figure in cubic units? 5 cubic units 7 cubic units 9 cubic units 12 cubic units Illuminate Itembank™ Generated On November 12, 2019, 5:26 AM PST Continue: Turn to the next page. Page 9 Unit6Assessment.Geometry.Math5.19.20 Assessment ID: ib.2264605 Directions: Answer the following question(s). 22 What is the volume of the solid figure, in cubic units? A. B. C. D. 23 A. B. C. D. 24 20 cubic units 24 cubic units 27 cubic units 30 cubic units What is the volume of a rectangular prism that has a length of 4 feet, a width of 12 feet, and a height of 5 feet? 240 feet3 53 feet3 48 feet3 21 feet3 What is the volume of the rectangular prism when: a = 7 mm b = 5 mm c = 10 mm A. B. C. D. 22mm3 50 mm2 70 mm2 350 mm3 Illuminate Itembank™ Generated On November 12, 2019, 5:26 AM PST Continue: Turn to the next page. Page 10 Unit6Assessment.Geometry.Math5.19.20 Assessment ID: ib.2264605 Directions: Answer the following question(s). 25 A. B. C. D. Pam has a box of candy that is a rectangular prism and is 8 inches long, _______ inches wide, 3 inches high, and has a volume of _____ cubic inches. 3, 14 3, 72 3, 24 9, 72 Illuminate Itembank™ Generated On November 12, 2019, 5:26 AM PST Stop: You have finished the assessment. Page 11