## Homework 5 Surface Area of Prisms and Cylinders Answer Key Introduction:

Ah, math homework. The bane of most students’ existence. It’s tough enough to understand the teacher in class, but then you have to go home and solve math problems on your own. And if you’ve been given a surface area of prisms and cylinders homework sheet, you may be feeling overwhelmed. But don’t worry, my dear student, we’ve got your back. In this blog post, we’ll walk you through the process of finding the surface area of prisms and cylinders and provide you with a helpful answer key for your homework. So take a deep breath and let’s get started!

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First things first, let’s start with prisms. The formula to calculate the surface area of a prism is 2B + Ph, where B is the base area, P is the perimeter of the base, and h is the height of the prism. For example, if you have a rectangular prism with a base of length 4 cm and width 2 cm, and height 5 cm, you calculate the surface area like this: Base Area (B) = 4 x 2 = 8 cm2. Perimeter (P) = 2(4 + 2) = 12 cm. Surface Area = 2(8) + (12)(5) = 76 cm2. And voila! You’ve got your answer. You can find similar problems and their solutions in our homework sheet answer key.

Now let’s move on to cylinders. The formula for surface area of a cylinder can be broken down into two parts: the area of the top and bottom circle, and the area of the curved side. The formula for top and bottom area is pi r² and for the side is 2 pi r h. For example, if you have a cylinder with a radius of 2cm and height of 10 cm, you calculate the surface area as follows: pi (2)² = 12.57 cm2 for the top and bottom, then 2 x pi x 2 x 10 = 125.66 cm2 for the curved side. The total surface area is 12.57 + 125.66 = 138.23 cm2. It’s easy when you know how to calculate the separate parts of the cylinder surface area! Do not forget to check out our homework sheet answer key for additional examples and practice.

How about composite figures? Not to worry, we can also workout composite figures because it just means we’re adding up multiple shapes. For example, let’s say you have a cylinder with a sphere on top. You can calculate the surface area of both shapes separately and add them together. If the cylinder has a radius of 4 cm and height of 10 cm, and the sphere has a radius of 6 cm, you can calculate the surface area as follows: Cylinder: 2(pi)(r)(h) = 2(3.14)(4)(10) = 251.2 cm² and Sphere: 4(pi)(r)(r) = 4(3.14)(6)(6) = 452.16 cm². Add the two together: 251.2 + 452.16 = 703.36 cm². And there you have it! Find more examples in our homework sheet answer key.

### Conclusion:

And that, my dear student, is how you master the surface area of prisms and cylinders. With a little bit of practice, you’ll become a pro in no time. Remember to use the formulas and break down composite shapes into smaller, more manageable parts. You can find all the examples and answers to your homework in our surface area of prisms and cylinders answer key. Don’t give up, you got this!