00:01
In this question, we have a bright circular cylinder that fits tightly into a rectangular box such that the sides of the cylinder touch the sides of the box and the top and bottom of the cylinder touch the top and bottom of the box as we can see in the diagram.
00:18
The cylinder is 12 centimeters tall and its diameter is 10 centimeters.
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That means its radius is 5.
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So we'll be finding each of the following, making sure that we include the unit.
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So the first thing we need to find is the surface area of the box.
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Now, the box is made up six faces, and i'm going to start with the faces.
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So to get the faces, i'm going to start with the faces of 10 by 12.
00:53
There are four of them.
00:54
So 4 times 10 times 12.
01:04
Then i'm going to add the top and bottom 2 times 10 times 10.
01:11
All right.
01:12
So this is going to be 4 times 120, which is 480 plus 2 times 100, which is 200.
01:21
So the surface area of the box, sorry, the surface area of the box.
01:26
Yeah, this is the surface area of the box.
01:28
The surface area of the box is 680 square centimeters.
01:34
So i've answered part 2.
01:36
The surface area of the box, 680 square centimeters.
01:44
Next, the surface area of the cylinder...
