Geometric Methods to Solve Design Problems: CCSS.Math.Content.HSG-MG.A.3

Practice Questions

Common Core: High School - Geometry › Geometric Methods to Solve Design Problems: CCSS.Math.Content.HSG-MG.A.3

Questions
8
1

You have a barrel (cylinder) that is 1ft in radius and 3 ft in height. There was a thunderstorm the night before and you have found that the barrel is full of water. How much water is in the barrel? Round to the second decimal

2

You have been collecting stamps for a couple years now. You now think you have enough to decorate your right-angle triangular prism shaped jewelry box without leaving any open gaps. The triangular faces of your jewelry box have a height of 5in and a base length of 3in. The rectangular faces of your jewelry box have a height of 5in and a width of 7in. You have stamps that are each 1in x 1in squares. Do you have enough stamps?

3

True or False: We want to find the amount of sod squares to lay within a fenced in area. This is a volume question.

4

You would like to construct an open face rectangular prism to hold some garden plants. The prism is shown in the figure below. If the entire prism will be filled with potting soil, how much potting soil will you need?

Screen shot 2020 08 13 at 8.39.13 am

5

You would like to fill a hollow globe with candy for your students. Since the globe opens upwards at the center, you can only fill the globe halfway. We cannot overfill the globe. If the globe has a radius of 15cm and each spherical candy takes up 2cm3 of space, how many candies do you need to fill the globe halfway?

6

True or false: You want to find the radius of your water bottle. Assuming your water bottle is a cylinder and you know it holds 10oz of water, you are able to determine the radius.

7

You need to build a diagonal support for the bleachers at the local sports field. The support needs to reach from the ground to the top of the bleacher. How the support should look is highlighted in blue below. The bleacher wall is 10 feet high and perpendicular to the ground. The owner would like the support to only stick out 3 feet from the bleacher at the bottom. What is the length of the support you need to build?

Screen shot 2020 08 13 at 8.45.39 am

8

Suppose you have a 12ft x 12ft area that you want to lay down tile for. Your tiles are 2ft x 2ft each. How many tiles do you need to perform this task?

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