Question Video: Finding the Side Elevation of a Solid Made of Cubes | Nagwa Question Video: Finding the Side Elevation of a Solid Made of Cubes | Nagwa

Question Video: Finding the Side Elevation of a Solid Made of Cubes Mathematics

Which of the following is the side elevation of the given shape? [A] Option (A) [B] Option (B) [C] Option (C) [D] Option (D) [E] Option (E)

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Video Transcript

Which of the following is the side elevation of the given shape?

We can recall that an elevation is a two-dimensional drawing of a three-dimensional shape. We can say, therefore, that the side elevation is a two-dimensional drawing of a three-dimensional shape when viewed from the side. In this type of question, we’ll usually be given the direction to take as the side. It can be easy to get confused between elevations and plans, but plans are different in that they’re a two-dimensional drawing from above. In this question, however, let’s look for the side elevation. If you find visualizing this type of activity difficult, it can be useful to shade what we might see.

We might find it a little bit easier to realize that we see the sides of these four blocks on the base of the shape; however, we’d also see the side of these two blocks at the top of the shape. When it comes to adding these two blocks into our side elevation, although in the diagram we can see that they’d be set further back from the four on the base, when it comes to drawing them, we’d just draw these two blocks on top of the other four. Therefore, we’d have a rectangle two units along and three units up. Therefore, the answer is that given in option (B), and none of the other options would fit with the side elevation.

However, let’s take a quick look at option (A). This is, in fact, that the front elevation of the shape as it’s the two-dimensional drawing when viewed from the front. If we look at the two-dimensional drawing in option (C), that’s the plan view because if we looked down on this three-dimensional shape from above, we’d see a rectangle that’s four units long by two units long. But as neither of these nor options (D) or (E) give us the side elevation, then we can give our answer as option (B).

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