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How to Find Volume and Surface Area for 6 Common Shapes

volume and surface area: Chart of different shapes and areas with formulas

Our world is filled with three-dimensional objects. When it comes to knowing the volume and surface area of these objects, there are two definitions that you have to know. Surface area is the area of all outer facing surfaces on an object. The total surface area is calculated by adding all the areas on the surface: the areas of the base, top, and lateral surfaces (sides) of the object. This is done using different area formulas and measured in square units.

Volume is the amount of space that a three dimensional object takes up. There are also different formulas for different three-dimensional shapes. The total volume of an object is measured in cubic units.

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How to Find the Measure of an Angle in a Triangle: 3 Methods

how to find the measure of an angle: Chalk drawn triangle with a triangle ruler and chalks over a blue board

If you want to know how to find the measure of an angle within a triangle, the most obvious way is to use a protractor. But if you don't have one on hand, here are three ways to find the measure of an angle within a triangle.

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Learning and Solving Systems of Equations Word Problems

systems of equations word problems: Person writing a mathematical equation on a blackboard

When it comes to solving systems of equations word problems, don't forget that they're not just problems that will show up on your Common Core State Standards (CCSS) worksheets and test prep. They are often real-world problems with many applications.

A system of equations is just a fancy name for a problem with multiple equations. Often, the first equation is primary and the second equation helps you solve for the first equation.

In this article, we'll take you through an example that shows how the substitution method in systems of linear equations can help solve for both of the original equations.

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Scientific Notation Definition: What It Is and How to Use It

scientific notation definition: Smiling woman writing on a notebook with a blackboard behind her

Let's get straight to it. Here's the scientific notation definition: A method of writing numbers in the format m×10^n, where 1≤ m <10 and n is an integer. Here is the number 9,654 in scientific notation:

9.654 x 10³

Scientific notation is a convenient way to shorten very large numbers using positive exponential values and very small numbers using negative exponential values.

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Your Guide to Understanding and Using Powers of 10

powers of 10: Box of beads, number cards and letter cutouts on a wooden surface

Our number system is based on powers of ten, meaning that moving the decimal point right or left one digit changes the original number by a magnitude of 10. For example, 0.1 is 10 times smaller than 1. 100 is 10 times bigger than 10.

Each zero that we add moves the 1 over another place value from the ones digit to the tens digit to the hundreds digit to the thousands digit. We know that as the decimal place moves to the left of zero, we go from the tenths digit to the hundredths digit to the thousandth digit and so on.

Let's look more closely at ways to work with powers of 10.

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