Geometric Modeling Question 1 . Craig is designing a new cylindershaped can for a pet food company. He wants the height of the can 1 to be 30 mm and the radius of the can to be 1 5 times the height of the can. He models the can on a coordinate grid as a rectangle in the rst quadrant that will be rotated around the yaxis to create the 3-dimensional can. What will be the diameter of the can? A. 45 mm B. 135 mm C. 60 mm D. 90 mm Question 2 . Kyle purchased a 24-pound bag of lawn fertilizer. The information on the bag states that it will cover a lawn that is 11 ,525 square feet. At approximately what density, pounds per square foot, should the lawn fertilizer be applied to a yard of that size? A. 0.001 ofa pound pound per square foot B. 0.2082 of a pound per square foot C. 0.0021 of a pound per square foot D. 0.0456 of a pound per square foot Question 3 . A professional painter knows that it takes 0.25 ounces of the paint he prefers to cover 1 square foot of wall. If he calculates that he will need 50 ounces of paint to cover an 8-foot wall. then how wide is the wall he is planning to paint? A. 200 feet B. 6.25 feet C. 27 feet D. 25 feet Question 4 . Asculptor hasjust nished creating a large wooden sphere for a sculpture he is working on. The sphere has a radius of 5.9 feet and weighs approximately 23,989.91 pounds. What is the approximate density of the wood used to create the sphere? A. 22 pounds per cubic foot B. 55.8 pounds per cubic foot C. 27.9 pounds per cubic foot D. 164.61 pounds per cubic foot Copyright 2023 Edmcntum All rights reserved. Question 5 . Which of the following descriptions best models the earth? A. sphere B. pyramid C. cylinder D. cone Question 6 . Hank is laying the foundation for a building that will measure 38 feet in length and 23 feet in width. According to local building codes, the foundation of the building must have a minimum thickness of 1 foot. What is the minimum amount of concrete Hank will need to lay the foundation of the building? A. 800 cubic feet B. 62 cubic feet C. 874 cubic feet D. 802 cubic feet Question 7 . Rick constructed a hollow cone. The radius of the cone is 2.1 inches and the height of the cone is 6.3 inches. If Rick puts 67 berries in the cone, approximately how many berries per cubic inch are there in the cone? Use 1r = 3.14. A. 2.3 B. 5.8 C. 4.2 D. 3.1 Question 8 . Tesla Pipe Company is creating metal pipe for an underground pipe line. According to the specifications given to them, the inside of the pipe must have a radius of 37 centimeters. In order to support the pressure the pipe must measure 11 millimeters in thickness. About how much material is required to create a 7-meter long pipe? Assume that7r rs = 3.14. A. 0.156 cubic meters B. 3.191 cubic meters 0. 0.182 cubic meters D. 3.009 cubic meters Copyright 2023 Edmcntum All rights reserved. Question 9 . The base and top of the hut shown below are two different types of shapes. Which of the following descriptions best models the two shapes which form this hut? A. cone and pyramid B. cone and cylinder C. triangular prism and cylinder D. pyramid and cylinder Question 10 . The town limits of Jefferson form a rectangle. The town of Jefferson is 19 miles wide and 8 miles long. If there are 6,000 people who live in Jefferson, what is the approximate population density? A. 222 persons per square mile B. 39 persons per square mile 0. 750 persons per square mile D. 316 persons per square mile Copyright 2023 Edmontum All rights reserved. Question 11 . Which of the following descriptions is present in the gure below? \\' A. cone B. triangular prism C. cube D. pyramid Question 12 . Chad built a chicken coup that is 37 feet long and 22 feet wide. He also bought 203.5 cubic feet of wood chips to put on the oor of the coup. How thick will the layer of wood chips be on the floor of the chicken coup? A. 0.2 feet B. 0.33 feet C. 0.23 feet D. 0.25 feet Question 13 . Patrick constructed a cylindrical solid out of concrete. The radius of the solid is 2.5 centimeters, and the height of the solid is 9.4 centimeters. if the mass of the solid is 502 grams, what is the approximate density of the solid? A. 2.721 grams per cubic centimeter B. 6.803 grams per cubic centimeter C. 0.367 grams per cubic centimeter D. 3.402 grams per cubic centimeter Copyright 2023 Edmontum All rights reserved. Question 14 . A solid steel rod measures 6 feet long and has a radius of 3 inches. The density of steel is 0.284 pounds per cubic inch. What is the approximate mass of the steel rod? A. 6,934.3257600000 pounds B. 577.86048 pounds C. 48.15504 pounds D. 184.032 pounds Question 15 . Brandon purchased a travel trailer in the shape of a rectangular prism that is 20 feet long. 7 feet wide, facial: feet tall. The trailer has a 14,000 BTU heater. Approximately how many BTUs are there per cubic A. 0.08 B. 12.5 C. 25 D. 100 Question 16 . Marion has a bicycle that she is planning to take for a ride. The rim of the rear wheel lies 35 cm from the center of the wheel. The tire itself has a thickness of 3 cm. In order to Marion to ride her bicycle 93,070 cm, approximately how many rotations will the rear wheel make? A. 423 B. 390 C. 20.5 D. 4,940 Question 17 . Which of the following descriptions best models playing dice that can be found in a board game? A. cube B. cylinder C. sphere D. prism Copyright 2023 Edmcntum All rights reserved. Question 18 . Which of the following descriptions best models the birdhouse shown below? A. rectangular prism B. triangular prism 0. cylinder D. pyramid Question 19 . A local high school is ordering 21 identical globes for different classrooms within the school. They want the largest possible globes, but they only have $990.00 to spend on them. If the globe manufacturer charges $0.01 per cubic centimeter for every globe, then what is the approximate radius of the largest possible globes that the school can afford? Assume that 7r = 3.14. A. 10.40 cm B. 15.23 cm C. 27.02 cm D. 1,126.02 cm Question 20 . Acompany is manufacturing computer monitors that are 19 inches wide, 16 inches across, and 2.5 inches thick. If the average cost to produce a computer monitor is $0.72 per cubic inch, then about how much would it cost the company to make 10 computer monitors? A. $54.72 B. $7,600.00 0. $54,720.00 D. $5,472.00 Copyright 2023 Edmontum All rights reserved. Question 21 . Rose wants to border a rectangular section of a bulletin board with decorative lace. She bought 112 inches of the lace. Determine the maximum area of the section that she can border. A. 784 square inches B. 788 square inches C. 780 square inches D. 783 square inches Question 22 . Alex bought 24 feet of fencing material to build a garden in his backyard. Determine the shape in which Alex should build the garden in order to cover the maximum area. A. square B. circle C. equilateral triangle D. rectangle with a width of 4 feet Question 23 . Which of the following descriptions best models a party hat? A. cone B. cylinder C. sphere D. pyramid Question 24 . A local national park covers an area of 487 square miles. Park management states that there are 25,639 evergreen trees and 28,355 deciduous trees in the park. What is the approximate tree density in the national park? A. 109.87 trees per square mile B. 111.87 trees per square mile C. 110.87 trees per square mile D. 52.65 trees per square mile Copyright 2023 Edmentum All rights reserved. Question 25 . Pinewood National Park is a circular, wooded wildlife park that preserves the natural habitats of a number of species. The park has a radius of 16 miles. The average number of predators in the park is 48,525. What is the approximate predator density of the park? Use 7r = 3.14. A. 65 predators per square mile B. 189 predators per square mile C. 60 predators per square mile D. 965 predators per square mile Copyright 2023 Edmentum All rights reserved