Assignment: 10.4 on p. 532: 1-11. Topic: Density and problem solving with volume.
Topic: Density and problem solving with volume. Students should be able to use equations to find the missing lengths using the volume. For example in a triangular pyramid with volume 180, height of the base triangle = 12, and altitude of the pyramid = 6, we could first notice that the volume of a pyramid is
And then that is the area of the triangular base, so
. So we are essentially solving
And we know all the values of variables except for so we can re-arrange by the commutative property of multiplication
With the known information we have
So
Then
And finally