Describe the faces, edges, verticals of each three dimensional figure. Then identify it.

Mathematics

1 answer:

EastWind [94]2 years ago

6 0

When you have to describe a 3D shape you have to keep the following definitions in mind:

1. The face of a 3D shape is a flat surface.

The shape on the picture has 3 rectangular faces and 2 triangular faces, a total of 5 faces.

2. The edge is where two faces meet.

For the shape on the picture, there are 3 edges, where the rectangular faces meet each other, and then three edges where the rectangular faces meet each of the triangular faces, this shape has a total of 9 edges.

3. The vertex is a corner, where the edges meet.

There are three vertices on each end of the shape, so it has a total of 6 vertices.

A shape that has 5 faces, 9 edges, and 6 vertices is a triangular prism.

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So, the probability that Marvin teleports atleast once per day will the compliment of probability that he does not teleports during the day. Therefore, first we need to find the probability that Marvin does not teleports during the day.

At Morning, the probability that Marvin does not teleport = 2/3

Likewise, the probability tha Marvin does not teleport during evening is also 2/3.

Since the two events are independent i.e. his choice during morning is not affecting his choice during the evening, the probability that he does not teleports during the day will be the product of both individual probabilities.

So, the probability that Marvin does not teleport during the day = $\frac{2}{3}*\frac{2}{3}=\frac{4}{9}$