Illustrative Mathematics - Geometry - Unit 5 - Lesson 17
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10 Questions
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1.
The washer in the image has an inner diameter of \frac{1}{4} inch. The outer diameter measures \frac{3}{4} inch, and the washer is \frac{1}{4} inch thick. The density of the metal the washers are made of is 0.285 pounds per cubic inch.
How much do 5 washers weigh, in pounds? Round your answer to the nearest hundredth.
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4.
The density of water is 1 gram per cm3. An object floats in water if its density is less than water’s density, and it sinks if its density is greater than water’s.
Will a toy in the shape of a rectangular prism that is 1 centimeter by 2 centimeter by 2 centimeter with mass 3 grams sink or float? Explain your reasoning.
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5.
A cube and a sphere both have volume 512 cubic units.
Which solid has a greater surface area? Explain your reasoning.
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6.
Give the dimensions of 2 solids with equal surface area and different volume.
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7.
A right cone has a base with diameter 10 units. The volume of the cone is 100\pi cubic units.
What is the length of a segment drawn from the apex to the edge of the circular base?
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8.
A pyramid has a height of 4 inches and a volume of 40 cubic inches.
Select all figures that could be the base for this pyramid.
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9.
Select all solids for which the formula V=Bh applies.
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10.
Two distinct lines, l and m, are each perpendicular to the same line n. A fourth distinct line, k, is also perpendicular to line n.
Does line k intersect line l or line ? Explain how you know.
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This lesson is from Illustrative Mathematics. Geometry, Unit 5, Lesson 17. Internet. Available from https://curriculum.illustrativemathematics.org/HS/teachers/2/5/17/index.html ; accessed 29/July/2021.
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