Question

Find the volume of the triangular prism shown in the diagram. The unlabeled point is F (0,0,1) . Outline your steps to explain the process you used.

Answer 1

Volume = (LWH)/2
Length = Difference between the two x values
Using A (4, 3, 1) an B (0, 3, 1) we can use these two x values to find the length of the triangular prism
4 - 0 = 4
Length = 4
Width = This is exactly the same process, however we use the y values
Using E (4, 0, 1) and A (4, 3, 1) we can use the two y values to find the width
3 - 0 = 3
Width = 3
Height = Again, the same but using the z values
Using E (4, 0, 1) and D (4, 0, 5) we can find the difference
5 - 1 = 4
Height = 4

Now we have all out values, we can put them in the formula to work out the volume.
(4 x 3 x 4)/2
48/2
24 (units)³