Question Video: Identifying the Plan, Front, and Side Views of a Solid Made of Cubes | Nagwa Question Video: Identifying the Plan, Front, and Side Views of a Solid Made of Cubes | Nagwa

# Question Video: Identifying the Plan, Front, and Side Views of a Solid Made of Cubes Mathematics

True or false: The given shape has the views shown below.

02:19

### 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.

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