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Our Lady of Lourdes 1) ______ 2) ______ 3) _____ 4) ______ Name ________________________________________ Date __________________________________ Geometry – Unit 11 Take Home Quiz Due By 3rd Period ALL WORK MUST BE SHOWN – EVEN FOR MULTIPLE CHOICE QUESTIONS 1) An aviary is an enclosure for keeping birds. There are 157 birds in the aviary shown in the diagram. What is the number of birds per cubic yard for this aviary? 1) 0.31 birds per cubic yard 2) 1.24 birds per cubic yard 3) 3.21 birds per cubic yard 4) 6.04 birds per cubic yard 2) The right pentagonal pyramid has a height of 8 inches and a base area of 61.94 square inches. Find the volume to the nearest hundredth. 1) 0.80 cubic inches 2) 165.17 cubic inches 3) 240 cubic inches 4) 495.52 cubic inches 3) Calculate the volume of the cylinder. 1) 90.25𝜋 cubic yards 2) 361𝜋 cubic yards 3) 1083𝜋 cubic yards 4) 4332𝜋 cubic yards 4) A rectangular box with the dimensions 2ft x 3ft x 4ft (l x w x h) has been modified to hold twice the amount it originally held. What was done to the box? 1) Only the height was doubled. 2) Only the width was doubled. 3) All dimensions had to have been doubled 4) Any one dimension could have been doubled Our Lady of Lourdes Solve for the missing dimension. 5) _______ 6) V = 7) a. ________ b. ________ 5) Find the volume of the sphere given radius 12 in. 6) Name the figure to the right using three words. Then find the volume of the figure. 7) The figure above had its base height increased by a scale factor of 2, its
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length increased by a scale factor of !, and its height increased by a scale
factor of 4. a. State the new volume. b. How much bigger or smaller is the new figure than the original. Our Lady of Lourdes 8) a. ___________________ b _______________________ c. ____________________ 9) ___________ 10) __________ 8) The figures to the right are similar. a. Find the volume of Figure b. Then state the ratio of the volumes. c. Find the volume of Figure B. A 15 in A. B* *Height intentionally omitted 9) Libby purchased a shipping container having a 400g capacity. She wants to fill it with flower boxes each measuring 3.5 cm by 3.5 cm by 3.5 cm and having a density of 0.914 g/mg. How many flower boxes can she put in the shipping container? (Justify your answer) 10)Eric was playing ball with his little sister. The density of the ball they were playing with was .453 g/ml, and the mass was 305. 073 g. Eric overthrew his sister, and the ball landed in the lake. If the volume of the ball is greater than 673, the ball will sink. Did Eric have to go under water to retrieve the ball for his sister? (Justify your answer)