Video: AQA GCSE Mathematics Foundation Tier Pack 1 • Paper 2 • Question 16

a) The side elevation and plan view of a solid are the same. The front elevation is different, as shown. Write down the name of the solid. b) The side elevation, plan, and front elevation of a solid are all the same, as shown. Write down the name of the solid.

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Video Transcript

Part a) The side elevation and plan view of a solid are the same. The front elevation is different, as shown. Write down the name of the solid. Part b) The side elevation, plan, and front elevation of a solid are all the same, as shown. Write down the name of the solid.

So we’re gonna start with part a). And first of all, to answer this question, we need to understand what the plan view, side elevation, and front elevation are. And these arrows give us an idea.

The plan view is a view from the top, so if you’re looking down from above. The side elevation is if you’re looking from the side. And the front elevation is if you’re looking from the front.

So first of all, I’ve drawn the front elevation, which is a square as we’ve got in the question. And then if we draw the side elevation and the plan view, we want both of these to be rectangles. We see here that they both would be. Our side elevation would be a rectangle. It’ll be the same from either side. And then if we looked down from our plan view, we can also see that this is a rectangle. So that’s what we’ve done.

Now we need to decide what is the name of our solid. And the name of this solid is a cuboid. Okay, so that’s part a) solved. Let’s move on to part b).

So in part b), this time, the side elevation, plan, and front elevation are all the same. And this means if you look at it from above, from the side, or from the front, you’ll always see this shape, which is a circle. So I’ve drawn a sketch of the solid that’s gonna have a front elevation, side elevation, and plan view that are all the same.

So if you looked at it from the front, you’d see a circle. So that would be the front elevation. If you looked at it from the side, you’d see a circle. So that would be the side elevation. And if you looked at it from the top, you’d see a circle again. So that’d be our plan view. So therefore, the name of the solid is a sphere.

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