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Convert Units of Area and Volume

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Convert Units of Area and Volume

Study Guide

Key Definition

Unit conversion for area and volume involves changing the unit of measurement from one to another. The units for area are square units while for volume they are cubic units.

Important Notes

Area is a measure of the space inside a flat shape.
Volume is a measure of the space inside a three-dimensional object.
Conversion factors are used to change units of measure.
Remember to square or cube the conversion factor when changing units of area or volume respectively.

Mathematical Notation

$A = s^2$ represents the area of a square.

$V = l w h$ represents the volume of a prism.

Remember to use proper notation when solving problems

Why It Works

Unit conversion works because it's based on the principle of equivalence. For example, 1 yard is equivalent to 3 feet. Therefore, 1 square yard is equivalent to 9 square feet.

Remember

When converting units of area or volume, remember to square or cube the conversion factor.

Quick Reference

Area of square:$A = s^2$

Volume of prism:$V = l w h$

Understanding Convert Units of Area and Volume

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Video explanation of this concept

Beginner

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Beginner Explanation

When we convert units of area or volume, we change the unit of measurement from one to another using a conversion factor.

Practice Problems

Test your understanding with practice problems

Quick Quiz

Single Choice Quiz

Beginner

Convert 1 square yard to square feet.

Real-World Problem

Question Exercise

Intermediate

Teenager Scenario

You have a rectangular prism box that measures 1 foot on each side. How many cubic inches does the box hold?

Thinking Challenge

Thinking Exercise

Intermediate

Think About This

A garden has an area of 1 square meter. How many square centimeters does the garden occupy?

Challenge Quiz

Single Choice Quiz

Advanced

A fish tank has a volume of 1 cubic meter. How many cubic centimeters does the fish tank hold?

Recap

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Review key concepts and takeaways