MATH-7 Surface Area and Volume Review Exam not valid for Paper Pencil Test Sessions [Exam ID:29TWB2 1 Which situation would require finding the surface area? A Robert needs to know how many stones are needed to lay a pathway around his garden. B Pam needs to know what size of tablecloth to buy for her kitchen table. Todd needs to figure the amount of paint he will need to paint all sides of a playground tube for C his younger brother. D Susan needs to know how much water will fill her pool. 2 Which situation would NOT require finding the volume? A Jim needs to find out how much wrapping paper is needed to cover a present. B Gail needs to know how many pieces of candy can fit into the container. C Tim needs to know how much gas to order for his propane tank. D Kim needs to calculate how much sand she needs to fill her sandbox. 3 George is planning a party for his mother and needs to determine how much ice he needs to fill a cylindrical ice bucket. To solve this problem George will need to use the formula for A area B surface area C volume D perimeter 4 Connie finds the product of the length, width and height of an ice chest. Based on her calculation, Connie is finding the A volume of the ice chest B area of the ice chest C perimeter of the ice chest D surface area of the ice chest
5 The diameter and height of a cylindrical container are shown. The container is filled completely with cheese sauce. Which of these represents the total number of cubic inches of cheese sauce in the container? A π 8 2 7 B π 16 2 7 C 2π 8 2 + 2π 8 7 D 2π 16 2 + 2π 16 7 6 Chloe is having a birthday party and her mother needs to know if there is enough cake for all of her friends. A reference book provides a chart explaining the proper amount of cake if the volume of the cake is known. What is the volume of Chloe's cake shown? A 22 cu in. B 44 cu in. C 145 cu in. D 264 cu in. E 290 cu in.
7 Directions: Click on a box to choose each answer you want to select. You must select all correct answers. Harold has a cooking pot with a volume of 175 cubic inches. He has gathered cans of ingredients to make dinner and separated these cans into appropriate groups. Identify each group of cans that, when combined and poured into the pot, will overflow the pot. 8 Directions: Type your answer in the box. A bakery has a closet with the dimensions of 36 inches 96 inches 36 inches that will be used to store boxes of pastries. Each pastry box has the dimensions of 8 inches 2 inches 12 inches. What is the maximum number of pastry boxes that can be put into the closet? pastry boxes 9 Directions: Type your answer in the box. Look at the figure. A student uses these blocks to model the design for his science project. What is the combined volume of the model? cubic inches
10 Directions: Type your answer in the box. A student made the solid figure using the building blocks. What is the volume of the solid figure formed? cubic cm 11 Directions: Type your answer in the box. A stage was constructed as shown. What is the volume occupied by the entire construction? cubic feet 12 A rectangular prism has a height of 3 inches and a volume of 27 cubic inches. The height of this prism is changed to 6 inches, and the other dimensions stay the same. What is the volume of the prism with this change? A 30 cubic inches B 54 cubic inches C 81 cubic inches D 162 cubic inches
13 The length of Rectangular Prism A is shown. The length of this prism is multiplied by a scale factor of Prism B. The volume of Rectangular Prism B is A 2 times the volume of Rectangular Prism A B 3 times the volume of Rectangular Prism A 1 C the volume of Rectangular Prism A 4 1 D the volume of Rectangular Prism A 2 1 2 to create Rectangular 14 Directions: Type your answer in the box. Rectangular prism A has a volume of 275 cubic inches. Rectangular prism B has the same dimensions as prism A except it is three times taller in height. What is the volume of prism B? cu in.
15 Directions: Click on a box to choose each answer you want to select. You must select all correct answers. Identify each pair of rectangular prisms that are described by the following situation. The height measurement of Prism B is 5 times the height measurement of Prism A The width and length measurements are the same for Prism A and Prism B is 48 cubic feet is 240 cubic feet is 36 cubic feet is 180 cubic feet is 160 cubic feet is 800 cubic feet is 10 cubic feet is 500 cubic feet is 24 cubic feet is 120 cubic feet is 28 cubic feet is 700 cubic feet 16 Directions: Click on a box to choose each answer you want to select. You must select all correct answers. The surface area of a rectangular prism has been increased and represented by the formula, SA = 6lw + 18lh + 6wh, where w is the width, l is the length, and h is the height of the prism. Identify each true statement concerning the new prism. The length has been multiplied by a scale factor of 3. The height has been multiplied by a scale factor of 3. The length has been multiplied by a scale factor of 9. The width has been multiplied by a scale factor of 6. The height has been multiplied by a scale factor of 6. The width has been multiplied by a scale factor of 9. 17 What is the approximate surface area of a cone if the radius is 2 inches and the slant height is 6 inches? A 43.96 in 2 B 150.72 in 2 C 50.24 in 2 D 56.52 in 2
Read the following solid, shape or figure and answer questions 18 through 18. 18 Directions: Click on a box to choose each statement you want to select. You must select all correct statements. Prism A has the measurements shown. Identify each true statement that correctly describes a situation that would double the volume of Prism A. The length and height of Prism A are multiplied by 2. The width of Prism A is multiplied by 2. All dimensions of Prism A are multiplied by 2. The length of Prism A is multiplied by 2. The height of Prism A is multiplied by 2. 19 What is the surface area of a rectangular prism with the dimensions shown? A 14 sq in. B 25 sq in. C 18 sq in. D 7 sq in.
20 How much water can you fit into a cone-shaped paper cup with a radius of 2 inches and a height of 4 inches? A 33.49 in 3 B 16.7 in 3 C 8.37 in 3 D 50.24 in 3 21 Approximately how much water can you fit into a cone-shaped paper cup with a radius of 2 inches and a height of 4 inches? A 16.7 in 3 B 8.37 in 3 C 33.49 in 3 D 50.24 in 3 22 If the height of the prism is doubled, what happens to the volume of the prism? A The volume is 8 times larger. B The volume does not change. C The volume is 4 times larger. D The volume will be doubled Read the following passage and answer questions 23 through 23.
23 Directions: Click on a box to choose each statement you want to select. You must select all correct statements. Look at Prism A. Prism B is created with the same dimensions as Prism A except for one dimension is multiplied by 5. Identify each true statement. The volume of Prism B is 5 times the volume of Prism A. The volume of Prism A is 5 times the volume of Prism B. The volume of Prism B is larger than the surface area of Prism A. The surface area of Prism B is 5 times the surface area of Prism A. The surface area of Prism B is larger than the surface area of Prism A. 24 If one of the dimensions was doubled, what would happen to the value of the prism's volume? A The volume would be 4 times larger. B The volume would not change. C The volume would be 8 times larger. D The volume would be 2 times larger.
25 Directions: Click on a box to choose each answer you want to select. You must select all correct answers. Identify each pair of rectangular prisms that are described by the following situation. The height measurement of Prism B is 4 times the height measurement of Prism A The width and length measurements are the same for Prism A and Prism B is 180 cubic feet is 980 cubic feet is 84 cubic feet is 1,344 cubic feet is 784 cubic feet is 3,136 cubic feet is 72 cubic feet is 288 cubic feet is 90 cubic feet is 1,440 cubic feet is 40 cubic feet is 160 cubic feet