Question Video: Finding the Plan View of a Cuboid | Nagwa Question Video: Finding the Plan View of a Cuboid | Nagwa

# Question Video: Finding the Plan View of a Cuboid Mathematics

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

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### Video Transcript

Which of the following is the plan of the given shape?

In this question, we can see that we’re given a cuboid or a rectangular prism with the dimensions of two centimeters, three centimeters, and four centimeters. We’re asked to find the plan of this shape. We can remember that a plan is a two-dimensional drawing of a three-dimensional shape when it is viewed from above. The view from above would mean looking downwards onto this cuboid; and therefore, the two-dimensional face at the top of the cuboid would be a rectangle. Importantly, we also know the dimensions of this rectangle. It would be three centimeters by four centimeters. Our answer would therefore be the rectangle given in option (C) of four centimeters by three centimeters.

We can eliminate the other options. If we look at option (A), it’s a square of three centimeters by three centimeters, so it’s not option (A). If we look at option (B), it’s interesting because it actually gives us the side elevation. That’s the two-dimensional drawing looking from the side view of this three-dimensional shape. But as we were asked for the plan, it’s not the answer given in option (B). We can eliminate option (D) as it’s a square of four centimeters by four centimeters. So our answer is that given in option (C).

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