### Video Transcript

The diagram shows a prism with a
cross section of an irregular pentagon. On the grid below, draw the front
elevation and the side elevation of the prism. Use a scale of one square to four
meters.

We can work out the number of
squares that correspond to each of the four lengths by dividing by four, as one
square is equal to four meters. 24 meters will be equal to six
squares, as 24 divided by four is equal to six. In the same way, 16 meters will be
equal to four squares. 14 meters will be equal to three
and a half or 3.5 squares. And eight meters will be equal to
two squares.

We now need to consider what we
would see on the front elevation of the prism. The bottom half of the front
elevation would be a rectangle, six squares across and two squares up. Above this, we would see another
rectangle, which would represent the sloping roof. This would also be six squares
wide, but this time 1.5 or one and a half squares high. This means that the full front
elevation will be a rectangle, six squares across and 3.5 squares up. Six squares is equal to 24
meters. And three and a half or 3.5 squares
is equal to 14 meters, the height of the prism.

If we now consider the side
elevation, it is clear that we would see a pentagon. The pentagon would be four squares
wide, as four squares is equal to 16 meters. We would then have two parallel
sides going up two squares. This represents the eight
meters.

Finally, we would have two
equal-length diagonal sides that would give a total height of the pentagon of 3.5
squares, as 3.5 squares is equal to 14 meters. The front elevation of the prism
consists of two rectangles making a larger rectangle. And the side elevation consists of
a pentagon.