What is the Relationship Between the Surface Areas of Similar Solids?

What is the Relationship Between the Surface Areas of Similar Solids?

Note:

If you have similar solids, there's a ratio that relates their surface areas. This tutorial uses similar prisms to help you find the ratio rule of the surface areas of any similar solids!

Keywords:

rule

surface area

similar solids

similar

solids

ratio

scale factor

proportional

corresponding linear measurements

Background Tutorials

communicate mathematical ideas, reasoning, and their implications using multiple representations, including symbols, diagrams, graphs, and language as appropriate

Ratios are everywhere! The scale on a map or blueprint is a ratio. Ingredients sometimes need to be mixed using ratios such as the ratio of water to cement mix when making cement. Watch this tutorial to learn about ratios. Then think of some ratios you've encountered before!

Apply the formulas for the total and lateral surface area of three-dimensional figures, including prisms, pyramids, cones, cylinders, spheres, and composite figures, to solve problems using appropriate units of measure

The lateral area of a three-dimensional solid is the area of all the lateral faces. In this tutorial, you'll see how to use the dimensions of a rectangular prism to find the lateral area. Take a look!