Video Transcript
True or false: The given shape
has the views shown below.
In this question, we’re given a
three-dimensional shape. We’re then given a plan view, a
front elevation, and a side elevation. And we need to check if these
three views are true. Let’s begin by remembering the
difference between plans and elevations. A plan is a two-dimensional
drawing of the view of a three-dimensional shape from above. And an elevation is a
two-dimensional drawing of the view from the front or the side. So the front elevation is the
view from the front, and the side elevation is the view from the side. So let’s start by thinking,
what would this three-dimensional shape look like from above?
If we shade the parts that
we’ll see in the plan view, we’d see a shape that almost looks like it’s going
to be a rectangle. We have got three units in this
direction and two units in this direction. However, we’re not quite making
a complete rectangle as we’re missing a section here. But what we have got here is
exactly what we’re given in this plan view. Next, let’s have a look at the
front elevation. That’s what we’ll see when
we’re looking in this direction. So we’d see two squares sitting
alongside each other along with this other square sitting on top. This is exactly what we’d see
in the given front elevation, so this view is correct.
Finally, let’s have a look and
see if we can work out the view from the side. From this view, we’d have three
blocks sitting on the base and one on top. But is the side elevation given
correct? No, it’s not. Let’s start by thinking what it
would look like. Here, we’ve drawn the three
blocks that sit on the base of this side elevation. This block that we’re given on
top of the shape is actually sitting on top of the block on the base that’s
furthest to the right. The side elevation would
therefore look like this, but not the one that we’re given. We would therefore give our
answer that this is false as the given shape does not have the views shown
below. The plan and the front
elevation are correct, but the side elevation is not.
