Video Transcript
Which of the following is the
solid shape that could have the views shown?
In this question, we’re given
three different views in two dimensions of a three-dimensional shape. We’re then given five different
three-dimensional shapes, and we need to work out which one of these has the
elevations and plan given. Let’s begin by recalling that
an elevation is a two-dimensional drawing of a three-dimensional shape from
either the side or the front. The side elevation is from the
side, and the front elevation is from the front. Like an elevation, a plan is
also a two-dimensional drawing, but this time it’s when viewed from above the
shape.
So let’s begin by looking at
the side elevation. We can see that there’s three
squares on the base and one square above. Let’s have a look at each of
the three-dimensional shapes given in the options, and we need to be careful
that we’re looking at the shape from the correct given side. We can shade the parts of the
three-dimensional shape that we would see from the side. If we look at option (A), it is
in fact incorrect. The side elevation of option
(A) would look like this. That’d be three squares on the
top and one square underneath on the left-hand side. We can eliminate option (A)
because the side elevation is incorrect. If we look at option (B) from
the side, we have the three squares on the base and this one square on top. Therefore, at least the side
elevation of option (B) would be correct.
Let’s see if any of the other
shapes would have the same side elevation. In option (C), there’d be side
elevation with one square at the base and three squares along the top. It would in fact have the same
side elevation as that in option (A). It is, however, incorrect as it
wouldn’t fit the given side elevation. Option (D) would have two
squares on the base and three squares along the top, which wouldn’t fit the side
elevation. If we shade in what we would
see in option (E), we can see that this would also be incorrect. It looks like we have
eliminated all of the options except for option (B). So let’s check if the front
elevation is also correct.
What we’re looking for in the
front elevation is identical to that in the side elevation, three squares on the
base and one square on the top on the left side. If we look at option (B), we’ve
got three squares on the base and one square sitting on top on the left
side. So the front elevation here is
also correct. For the plan view then, that’s
the two-dimensional shape that we would see if we looked downwards from
above. Shading in the parts of the
blocks that we would see from above, we can see that the plan view given would
also fit with shape (B). We can therefore give our
answer that the shape given in option (B) would have the views of the side
elevation, front elevation, and plan that we were given.
