Question

Drag each image and value to the correct location on the image. Not all labels will be used.

Answer 1

According to the image, it can be inferred that the shapes that best adapt to the castle are the cylinder and the cuboid. Additionally, the area of ​​its surfaces would be: Cylinder - 5,654.79ft² and cuboid - 28800ft².

How to identify the shapes that fit the castle?

To identify the forms that adapt to the castle, the information on its measurements and what we see in the image must be taken into account. As for the tower, it can be seen that it is cylindrical in shape and from its measurements (height and diameter) we can infer that it is cylindrical.

On the other hand, we can see that the cuboid is a three-dimensional rectangle, that is, a cuboid because it has length, height and width.

How to calculate the surface area of ​​these shapes?

To calculate the surface area of ​​these surface areas, we must use different formulas, let's start with the cylinder.

To find the surface area of ​​a cylinder we must use the following formula.

• 2πrh + 2πr²

Then we must substitute the values ​​and find the result as follows:

• Cylinder surface area = 2π 10ft × 80ft + 2π × 10ft²
• Cylinder surface area = 5654.86ft²

On the other hand, to find the surface area of ​​the cuboid we must find the surface area of ​​each face and then add the results.

• Front face = 60ft × 200ft
• Front face = 12000ft²

• Side face = 60ft × 40ft
• Side face = 2400ft²

We must keep in mind that the area that is covered by bricks includes both the side faces and the back face. Therefore, we must multiply the area of ​​the front and side faces by two.

2400ft² × 2 = 4800²

12000ft² × 2 = 24000²

Finally we must add the total surface area of ​​the cuboid.

• 24000ft² + 4800ft² = 28800ft²

Additionally, we must add the surface area of ​​the cuboid and the cylinder to get an approximation of the castle's brick area.

• 28800ft² + 5654.86ft² = 34454.86ft²

Learn more about surface in: brainly.com/question/1569007

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