Hi I need some major help on surface area and volume. Do you think you can provide some examples for me to solve out? I don't get any of the formulas or how to get the correct answers. I'm struggling in Geometry this year I'm in K12 (homeschooled) and I have a D in Geometry. Please help!!!!!

Sincerely,

Aaden Caldwell

First, Aaden Caldwell, Marques Hinton, William H, Tyler P, please use the same name for all of your posts.

You've posted several surface area problems for which you've received help. Please go back and post your answers for these questions.

We'll be glad to help you then.

I'm not any of those boys Mrs. Sue. I'm not a duplicate of those users.

Why are you all posting similar questions from the same internet provider address?

Hi Aaden Caldwell! I'd be happy to help you with surface area and volume in Geometry. These concepts can be challenging, but with practice and understanding of the formulas, you'll be able to solve problems easily.

Let's start by discussing the formulas for surface area and volume of common shapes:

1. Rectangular Prism:
- Surface Area: SA = 2lw + 2lh + 2wh, where l is the length, w is the width, and h is the height of the prism.
- Volume: V = lwh.

2. Cube:
- Surface Area: SA = 6s^2, where s is the length of one side.
- Volume: V = s^3.

3. Cylinder:
- Surface Area: SA = 2πrh + 2πr^2, where r is the radius of the base, and h is the height of the cylinder.
- Volume: V = πr^2h.

4. Sphere:
- Surface Area: SA = 4πr^2, where r is the radius of the sphere.
- Volume: V = (4/3)πr^3.

5. Cone:
- Surface Area: SA = πrl + πr^2, where r is the radius of the base, and l is the slant height of the cone.
- Volume: V = (1/3)πr^2h, where h is the height of the cone.

Now, let's work through an example problem to help you understand how to use these formulas:

Example: Find the surface area and volume of a rectangular prism with length 5 cm, width 3 cm, and height 4 cm.

Solution:
1. Surface Area:
SA = 2lw + 2lh + 2wh
= (2)(5)(3) + (2)(5)(4) + (2)(3)(4)
= 30 + 40 + 24
= 94 cm^2

2. Volume:
V = lwh
= (5)(3)(4)
= 60 cm^3

In this example, the surface area of the rectangular prism is 94 cm^2, and the volume is 60 cm^3.

Remember to substitute the values given in the problem into the formulas correctly and perform the calculations accurately.

I hope this example helps you understand how to find the surface area and volume of objects in Geometry. If you have any more questions or need further assistance, feel free to ask!