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Mathematics for Elementary Teachers with Activities (5th Edition)
5th Edition
ISBN: 9780134392790
Author: Beckmann, Sybilla
Publisher: PEARSON
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Textbook Question
Chapter 13.2, Problem 3P
- Describe or show how to make a cylinder without bases out of a 4-in.-by-5-in. rectangular piece of paper in such a way that all the paper is used and the paper does not overlap. Then describe or show how to make a different cylinder without bases out of another 4-in.-by-5-in. rectangular piece of paper. As before, all the paper should be used and there should be no overlaps. Determine the surface area (without the bases) of each cylinder and explain your reasoning.
- Describe or show how to make a pyramid without a base out of a 4-in.-by-5-in. rectangular piece of paper in such a way that all the paper is used and the paper does not overlap. (You may form faces of the pyramid by joiningpieces of paper.) Determine the surface area (without the base) of your pyramid.
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6. Researchers who have been studying the alarming rate at which the level of the Dead Sea has been dropping
have shown that the density d (x) (in g per cm³) of the Dead Sea brine during evaporation can be estimated by the
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d(x)=1.66 0.90x+0.47x²,
where x is the fraction of the remaining brine, 0≤x≤1.
a) Estimate the density of the brine when 60% of the brine remains.
b) Find and interpret the instantaneous rate of change of the density when 60% of the brine remains.
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2. Find each derivative. Write answers with positive exponents.
a)
Dx 9x
-3
[97]
b) f'(3) if f(x) = x²-5x²
8
Chapter 13 Solutions
Mathematics for Elementary Teachers with Activities (5th Edition)
Ch. 13.1 - For each of the following solid shapes, find at...Ch. 13.1 - Answer the following questions without using a...Ch. 13.1 - Answer the following questions without using a...Ch. 13.1 - Recall that an n-gon is a polygon with n side For...Ch. 13.1 - This problem goes with Class Activity 13C on the...Ch. 13.1 - Referring to the descriptions of the Platonic...Ch. 13.1 - A cube is a polyhedron that has 3 square faces...Ch. 13.1 - The Platonic solids are convex polyhedra with...Ch. 13.1 - Two gorgeous polyhedra can be created by...Ch. 13.2 - Find all the different nets for a tetrahedron made...
Ch. 13.2 - Make three different nets that could be cut out,...Ch. 13.2 - Describe or show how to make a cylinder without...Ch. 13.2 - If a cardboard box (rectangular prism) with a top,...Ch. 13.2 - Use a ruler and compass to help you make a pattern...Ch. 13.2 - Use a ruler and compass to help you make a pattern...Ch. 13.2 - Use a ruler and compass to help you make a pattern...Ch. 13.2 - Prob. 8PCh. 13.2 - Make a pattern for the “bottom portion” (frustum)...Ch. 13.2 - A company will manufacture a tent that will have a...Ch. 13.2 - Prob. 11PCh. 13.2 - Prob. 12PCh. 13.2 - A popular brand of soup comes in cans that are 258...Ch. 13.2 - The lateral portion of a cone (the part other than...Ch. 13.2 - Make a pattern for a cone such that the lateral...Ch. 13.2 - Make a pattern for a cone such that the lateral...Ch. 13.2 - A cone with a circular base of radius 6 cm is to...Ch. 13.2 - Tim needs a sturdy cardboard box that is 3 ft tall...Ch. 13.2 - Prob. 19PCh. 13.2 - Prob. 20PCh. 13.2 - Prob. 21PCh. 13.2 - Prob. 22PCh. 13.2 - How many different nets an open top cubes an...Ch. 13.2 - Make three different nets that could be cut out,...Ch. 13.3 - Suppose that a student in your class wants to know...Ch. 13.3 - Students are sometimes confused about the...Ch. 13.3 - Young children sometimes think that tall...Ch. 13.3 - Students often confuse the surface area and the...Ch. 13.3 - In your own words, explain why the volume volume =...Ch. 13.3 - Discuss how to use blocks to explain why the...Ch. 13.3 - A cylindrical container has a base that is a...Ch. 13.3 - One liter of water is in a cylindrical container....Ch. 13.3 - Measure how fast water comes out of some faucet of...Ch. 13.3 - Find a gallon container, 3 half-gallon container,...Ch. 13.3 - One gallon is 3.79 L, and 1 cm3 holds 1 mL of...Ch. 13.3 - A cake recipe will make a round cake that is 6 in....Ch. 13.3 - A recipe for gingerbread makes a...Ch. 13.3 - The front (and back) of a greenhouse have the...Ch. 13.3 - Prob. 15PCh. 13.3 - Fifty pounds of wrapping paper are wound onto a...Ch. 13.3 - A conveyor belt dumps 2500 yd3 of gravel to form a...Ch. 13.3 - A construction company wants to know how much sand...Ch. 13.3 - One of the Hawaiian volcanoes is 30,000 ft high...Ch. 13.3 - Prob. 20PCh. 13.3 - Prob. 21PCh. 13.3 - A cone without a base is made from a...Ch. 13.3 - Prob. 23PCh. 13.3 - A cone without a base is made from 34 of a circle...Ch. 13.3 - A cone-shaped cup has a circular opening at the...Ch. 13.3 - Eight identical spherical raindrops join together...Ch. 13.4 - A tank in the shape of a rectangular prism has a...Ch. 13.4 - A container holds 5 liters. Initially, the...Ch. 13.4 - Aflsh tank in the shape of a rectangular prism is...Ch. 13.4 - Suppose that you have a recipe that calls for 200...Ch. 13.4 - Prob. 5P
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What is a Prism? | Types of Prism | Don't Memorise; Author: Don't Memorise;https://www.youtube.com/watch?v=wxDTrgnyu28;License: Standard YouTube License, CC-BY