Don and kayla each draw a triangular pyramid that has a volume of 100 cm. they don’t draw identical shapes. give a set of possible dimensions.

To figure out two separate dimensions for finding a Volume of 100 cubic cm, you will look at the factors of 100 that will result in an answer of 100.

You will need the area of the triangular base and the height of the pyramid.

I will use 3 as the height for both triangle because in the formula, you will multiply by 1/3.  This means you will need to get an area of 100 for each triangle.  

Because you will divide by 2, you need to find 2 different sets of factors that will give you 200.  I chose 20 and 5 and 25 and 4.

Please see the attached work for the calculations.

Triangle #1:                                       Triangle #2:
b = 40 cm                                           b = 50 cm
h(of the base triangle) = 5 cm         h(of the base triangle) = 4 cm
H(of the pyramid) = 3 cm                  H(of the pyramid) = 3 cm

Set up a system of equations