New York State Common Core Math Geometry, Module 3, Lesson 8
Worksheets for Geometry, Module 3, Lesson 8
- Students understand the precise language that describes the properties of volume.
- Students understand that the volume of any right cylinder is given by the formula area of base×height.
Definition and Properties of Volume
a. Use the following image to reason why the area of a right triangle is 1/2𝑏ℎ (Area Property 2).
b. Use the following image to reason why the volume of the following triangular prism with base area 𝐴 and
height ℎ is 𝐴ℎ (Volume Property 2).
Complete Exercises 1–2, and then have a partner check your work.
- Divide the following polygonal region into triangles. Assign base and height values of your choice to each triangle, and determine the area for the entire polygon.
- The polygon from Exercise 1 is used here as the base of a general right prism. Use a height of 10 and the
appropriate value(s) from Exercise 1 to determine the volume of the prism.
- A square metal plate has a density of 10.2 g/cm3 and weighs 2.193 kg.
a. Calculate the volume of the plate.
b. If the base of this plate has an area of 25 cm2, determine its thickness.
- A metal cup full of water has a mass of 1,000 g. The cup itself has a mass of 214.6 g. If the cup has both a diameter
and a height of 10 cm, what is the approximate density of water?
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