A right pyramid is a pyramid with apex(the vertex at the tip of the pyramid) and with triangular sides.

To find the volume, you need to know what the dimensions of the base and the height.

Example

To find the surface area of a right pyramid, you need to know the slant height and the base length.

Example

If you do not know either of these dimensions, you can use The Pythagorean Theorem to help you find it.

Example

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A right cone is a 3D shape with a circular base and vertex directly above the base.

To find the volume of cone, you need to know the dimensions of the base and the height.

Example

To find the surface area of a right cone, you need to know the radius and the slant height.

Example

If you don’t know either of these dimensions, you can use The Pythagorean Theorem to help you find it.

Example

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With using The Pythagorean Theorem, it became a lot easier to find the volumes and surface areas. As long as I knew all the dimensions and inputted it correctly into my calculator, I got the right answer.

We had to find an equation for the surface area to a cylinder that equals between 520 -540 cm squared. 
Then we had to create the cylinder. 

The advantage of converting within the Metric System is that all the units are related to each other by a factor of ten.  You can use, to convert between units, a metric unit number line. Each movement on this number line presents a power of ten. 

When converting between different units, we need to find how many positions on the line we move. The middle represents the main unit; Meters, Grams, Liters. If the unit chart is true; 1 meter to a centimeter is two steps to the right. Meaning 1 meter is equal to 10 to the power of 2 centimeters, or 100 centimeters. The power is the amount of steps moved; if moving towards to right, the power will be positive; if moving towards the left, the power will be negative.

Example of converting in the SI system

If we want to convert 15 700 cL to ML, we need to find where cL and ML are on the number line.

Since it is 8 steps to the left, this means the difference is 10 to the power of -8; 1 cL = 0.000000008ML

Now that we found the conversion, we can apply it to the number we are converting. You want to multiply the number that you want to convert (15 700 cL) with the difference in units (0.00000001 over 1cL).

Note: you want the cL in the denominator so the units can cancel out.

When cancelled out, you can multiply the numbers to find the answer.

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I found that this lesson can either be very complicated or very simple. I learned that the key is that you have to write every step down so you don’t confuse yourself and also to remember what unit you are converting to what, so
you don’t mix them around and start from the wrong unit. It is a challenging because of the amount of steps you must remember and follow.