7 TH GRADE SOL REVIEW: MEASUREMENT Mrs. Kirkland 1

A cylindrical glass vase is 6 inches in diameter and 12 inches high. There are 3 inches of sand in the vase, as shown below. 2

Find the volume of the prism. 3

What is the approximate surface area of a cylinder with aradius of 3 inches and a height of 10 inches? A.30 in. 2 B.87 in. 2 C.217 in. 2 D.245 in. 2 4

A cereal box is 9 inches by 2.5 inches by 10 inches. What is the volume of the box? 5

Ming has a plastic container that is shaped like a rectangular prism. The container has a length of 14 centimeters and a width of 6 centimeters. If the volume of the container is 840 cubic centimeters, what is its height? A. 10 cm B. 42 cm C. 14 cm D. 168 cm 6

Justin uses a container in the shape of a cylinder to store his markers. The diagram below shows the dimensions of the container. Which of the following is closest to the volume of the container? A. 3,077 cm 3 B. 1,758 cm 3 C. 879 cm 3 D. 440 cm 3 7

A cylindrical glass vase is 6 inches in diameter and 12 inches high. There are 3 inches of sand in the vase, as shown below. Which of the following is closest to the volume of the sand in the vase? A. 85 in. 3 B. 254 in. 3 C. 54 in. 3 D. 339 in. 3 8

Mr. Reynolds wants to determine the number of bags of fertilizer he should buy in order to completely cover his yard. Which of the following methods can he use to find the number of bags of fertilizer he needs? F. Multiply the area of the yard by the area each bag of fertilizer can cover G. Divide the area of the yard by the area each bag of fertilizer can cover H. Multiply the area of the yard by the cost of each bag of fertilizer J. Divide the area of the yard by the weight of each bag of fertilizer 9

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This diagram shows a rectangular prism. What is the total surface area of this prism? F. 110 square inches G. 168 square inches H. 208 square inches J. 220 square inches 11

A cylindrical paint can has a diameter of 12 centimeters and a height of 16 centimeters. Which is closest to the volume of the paint can in cubic centimeters? A. 603 B.1,206 C. 1,809 D. 7,235 12

Predict what would happen to the volume of a cylinder if you increase the height by a factor of 3 and decrease the radius by a factor of ½. Justify your prediction. 13

The surface area of a cube is 24 sq ft. What is the length of a side? Justify your answer. 14

What happens to a rectangular prism when each the dimensions is divided by 3? A.The volume is 1/27 of the original volume. B.The volume is 1/9 of the original volume. C.The volume is 1/6 of the original volume. D.The volume is 1/3 of the original volume. 15

A rectangular prism is 5 feet long, 2 feet wide, and 7 feet tall. A new prism with the same shape has changed by a scale factor of 5. What is the surface area of the new prism? 16

A rectangular prism is 2 feet long, 12 feet wide, and 8 feet tall. A second prism with the same shape has changed by a scale factor of 6. How does the surface area of the new prism compare with the surface area of the first prism? A.It is 36 times larger. B.It is 6 times larger. C.It is 1/6 times smaller. D.It is 1/36 times smaller. 17

What is the surface area of a game cube with 1 – inch sides? A.36 square inches B.24 square inches C.6 square inches D.4 square inches 18

Charlie buys a can of stewed tomatoes from a wholesale club. The radius of the can is 10 cm. The volume of the can is approximately 7,536 cm 3. What is the height of the cylinder? 19

The volume of a rectangular prism is 192 cubic inches. The length of the prism is 4 inches and the height is 8 inches. What is the width of the prism? 20