standard_description: Draw (freehand, with ruler and protractor, and with technology) geometric shapes with given conditions. Focus on constructing triangles from three measures of angles or sides, noticing when the conditions determine a unique triangle, more than one triangle, or no triangle.
problem_activity: Problem 1
The three shapes below represent the bases of three different prisms. Each grid is 1 unit
$$\times$$
1 unit, and each prism has a height of 10 units.
[IMG]
What is the volume of each prism?
Problem 2
A triangular prism has the measurements shown below.
[IMG]
If the volume of the prism is 270 cubic inches, what is the height of the prism?
Problem 3
Investigate the relationship between the volume of a prism and a pyramid with the same base.
a.   Watch the YouTube video
Volume of Three Square Pyramids Fitting into a Cube
.
b.   What is the relationship between the volume of the prism and the volume of the pyramid?
c.   What formula can you use to find the volume of a pyramid?
d.   Find the volume of a rectangular pyramid with height 5 cm and base measuring 8 cm × 6 cm.


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