Transcription of Area, Surface Area, & Volume Test Part I
1 Name _____ Period _____ Date _____ area , Surface area , & Volume Test Geometry Honors part I Answer all questions in this part . Each correct answer will receive 5 credits. No partial credit will be allowed. [30] 1. If the area of a square garden is 48 square feet, what is the length, in feet, of one side of the garden? (1) 12 2 (2) 43 (3)16 3 (4)46 2. The diagram below shows a right pentagonal prism. Which statement is always true? (1) (2) (3) (4) 3. A roll of candy is shown in the accompanying diagram. The shape of the candy is best described as a (1) rectangular solid (3) cone (2) pyramid (4) cylinder 4. The ratio of the corresponding sides of two similar squares is 1 to 3. What is the ratio of the area of the smaller square to the area of the larger square?
2 (1) 1:3 (2) 1:3 (3) 1:6 (4) 1:9 5. The Volume of a cube is 64 cubic inches. Its total Surface area , in square inches, is (1) 16 (2) 48 (3) 96 (4) 576 6. The lateral faces of a regular pyramid are composed of (1) squares (3) congruent right triangles (2) rectangles (4) congruent isosceles triangles part II Answer all questions in this part . Each correct answer will receive 8 credits. Clearly indicate the necessary steps, including appropriate formula substitutions, diagrams, charts, etc. For all questions in this part , correct numerical answers without work shown will receive only 1 credit. [40] 7. The Volume of a rectangular pool is 1,080 cubic meters. Its length, width, and depth are in the ratio 10:4:1. Find the number of meters in each of the three dimensions of the pool. 8.
3 A right circular cylinder has an altitude of 11 feet and a radius of 5 feet. What is the lateral area , in square feet, of the cylinder, to the nearest tenth? 9. Tim is going to paint a wooden sphere that has a diameter of 12 inches. Find the Surface area of the sphere, to the nearest square inch. 10. A right circular cone has a base with a radius of 15 cm, a vertical height of 20 cm, and a slant height of 25 cm. Find, in terms of' , the number of square centimeters in the lateral area of the cone. 11. The base of a pyramid is a rectangle with a width of 6 cm and a length of 8 cm. Find, in centimeters, the height of the pyramid if the Volume is . part III Answer all questions in this part . Each correct answer will receive 10 credits. Partial credit will be allowed. Clearly indicate the necessary steps, including appropriate formula substitutions, diagrams, charts, etc.
4 Correct numerical answers without work shown will receive only 1 credit. [20] 12. A sphere of frozen yogurt was pressed into the cone as shown at the left. If the yogurt melts into the cone, would the cone overflow? Explain. 13. Tamika has a hard rubber ball whose circumference measures 13 inches. She wants to box it for a gift but can only find cube-shaped boxes of sides 3 inches, 4 inches, 5 inches, or 6 inches. What is the smallest box that the ball will fit into with the top on? part IV Answer all questions in this part . Each correct answer will receive 10 credits. Partial credit will be allowed. Clearly indicate the necessary steps, including appropriate formula substitutions, diagrams, charts, etc. Correct numerical answers without work shown will receive only 1 credit. [10] 14. In the accompanying diagram, a rectangular container with the dimensions 10 inches by 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.
5 What is the maximum number of full cups of water that can be placed into the container without the water overflowing the container?
