# How do you find the surface area of a geometric shape?

The surface area of a solid figure is the sum of the outside areas. This means you have to find the area of all of the “pieces” that make up the solid figure. Find the area of each part which makes up the solid figure, Then add all of the areas together to get the total area of the OUTSIDE of the geometric solid.

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Considering this, what is the formula for area of all shapes?

The most basic area formula is the formula for the area of a rectangle. Given a rectangle with length l and width w, the formula for the area is: A = lw (rectangle). That is, the area of the rectangle is the length multiplied by the width.

Likewise, what is the formula for finding the surface area of a triangle? To find the area of a triangle, multiply the base by the height, and then divide by 2. The division by 2 comes from the fact that a parallelogram can be divided into 2 triangles. For example, in the diagram to the left, the area of each triangle is equal to one-half the area of the parallelogram.

Also, what is the formula for finding the surface area of a cylinder?

To find the surface area of a cylinder add the surface area of each end plus the surface area of the side. Each end is a circle so the surface area of each end is π * r2, where r is the radius of the end. There are two ends so their combinded surface area is 2 π * r2.

How do you find the surface area and volume of a shape?

Sphere Surface Area Formula and Sphere Volume Formula

1. Surface area = 4πr2
2. Volume = 43πr3
3. Surface Area of a Prism = 2 × (Area of the base shape) + (Perimeter of base shape) × (d)
4. Volume of a Prism = (Area of base shape) × d.
5. Surface Area of a Box = 2(L × W) + 2(L × D) + 2(W × D)
6. Volume of a Box = L × W × D.

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