Question Video: Finding the Side Elevation of a Solid with an Inclined Plane | Nagwa Question Video: Finding the Side Elevation of a Solid with an Inclined Plane | Nagwa

Question Video: Finding the Side Elevation of a Solid with an Inclined Plane 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?

In this question, we’re asked to find the side elevation, which means that we need to produce a two-dimensional drawing of this three-dimensional shape. We’re usually given the direction that we take as this side. Notice that if we wanted to draw the view from above, that’s called the plan view. It can be helpful to shade in what we’d see if we looked from the side. So, we’d see this rectangle at the bottom. That’s four centimeters by one centimeter. But we’d also see another part of this shape as well, this flat side of the prism.

Although when we look at this three-dimensional shape, we can see that this face would be slanted, that is, it’s not horizontal or vertical, but when we draw it, we’ll draw it as a rectangle. The height from the bottom of the shape to the top is three centimeters, so the height of the rectangle in the elevation will also be three centimeters. Our answer for the side elevation is therefore that given in option (E). But let’s have a quick look at some of the other options we were given.

Let’s look at option (A). It is, in fact, the front elevation of this shape as this is what we’d see if we looked at this three-dimensional shape from the front. As we were looking for the side elevation, however, it’s not correct for the answer. In option (B), we were given a square of four centimeters by four centimeters. This is, in fact, the plan of the given shape. It’s what we’d see if we looked at the three-dimensional shape from above. But it’s incorrect for the side elevation of the given shape. Option (C) is also incorrect. It’s a triangle. And option (D) is also incorrect. Option (D) is what we’d see if we looked at this shape from the back. We can give our answer here as option (E).

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