volume, surface area Name: Date: 1. A right circular cylinder has a base whose area 5. In the accompanying diagram, a rectangular is 12. If the height of the cylinder is 6, the container with the dimensions 10 inches by volume of the cylinder is 15 inches by 20 inches is to be filled with water, using a cylindrical cup whose radius is 2 inches and whose height is 5 inches. What is the A. 18 B. 24 C. 36 D. 72 maximum number of full cups of water that can be placed into the container without the water overflowing the container? 2. The volume of a rectangular solid is 24 cubic centimeters. If the width is 2 centimeters and the length is 3 centimeters, what is the height, in centimeters, of the solid? 3. If the edge of a cube is 6 centimeters and the edge 6. A storage container in the shape of a right circular of a second cube is 5 centimeters, the difference cylinder is shown in the accompanying diagram. in the volumes of these cubes is A. 1 cm3 B. 11 cm3 C. 30 cm3 D. 91 cm3 What is the volume of this container, to the nearest hundredth? 4. A cube whose edge has a length of 4 has the same volume as a rectangular box whose length is 8 and whose width is 4. The height of the A. 56.55 in3 B. 125.66 in3 rectangular box is C. 251.33 in3 D. 502.65 in3 A. 1 B. 2 C. 3 D. 4 page 1 7. A regular pyramid with a square base is shown in 9. A right prism has a square base with an area of the diagram below. 12 square meters. The volume of the prism is 84 cubic meters. Determine and state the height of the prism, in meters. 10. In the accompanying diagram, right triangle ABC O OACB is inscribed in circle . is a right angle, AB is a diameter, AC = 5 and BC = 12. Using A side, s, of the base of the pyramid is 12 meters, = 3.14, find the area of the shaded portion to and the height, h, is 42 meters. What is the the nearest tenth. [Only an algebraic solution will volume of the pyramid in cubic meters? be accepted.] 8. A packing carton in the shape of a triangular prism is shown in the diagram below. 11. In the accompanying diagram, two concentric circles have radii of 9 and 5, respectively. In terms of , the area of the shaded region is A. 56 B. 16 What is the volume, in cubic inches, of this C. 8 D. 4 carton? A. 20 B. 60 C. 120 D. 240 page 2 volume, surface area 12. If one side of a regular octagon is represented 14. Mr. Petri has a rectangular plot of land with by 2x 1, the perimeter of the octagon can be length = 20 feet and width = 10 feet. He wants represented by to design a flower garden in the shape of a circle with two semicircles at each end of the center circle, as shown in the accompanying diagram. He x x A. 12 1 B. 16 1 will fill in the shaded area with wood chips. If one bag of wood chips covers 5 square feet, how C. 12x 6 D. 16x 8 many bags must he buy? 13. The accompanying diagram shows a square with side y inside a square with side x. 15. Luis is going to paint a basketball court on his driveway, as shown in the diagram below. This basketball court consists of a rectangle and a semicircle. Which expression represents the area of the shaded region? A. x2 B. y2 Which expression represents the area of this C. y2 x2 D. x2 y2 basketball court, in square feet? A. 80 B. 80 + 8 C. 80 + 16 D. 80 + 64 page 3 volume, surface area Problem-Attic format version 4.4.315 _c 2011–2017 EducAide Software Licensed for use by Linda Rich Terms of Use at www.problem-attic.com volume, surface area 4/23/2018 1. Answer: D 2. Answer: 4 3. Answer: D 4. Answer: B 5. Answer: 47 6. Answer: D 7. Answer: 2016 8. Answer: C 9. Answer: 7, and correct work is shown. 10. Answer: 102.7 11. Answer: A 12. Answer: D 13. Answer: D 14. Answer: 9 15. Answer: B.