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Volume measures the space occupied by a solid figure, often described as the "inside space" of a 3D shape. Common examples include the inside of a box, the amount of water in a fish tank, and the sand in a sandbox. Volume can be calculated using the formula: Volume = Length x Width x Height. This guide explains how to multiply measurements together and emphasizes the importance of cubing the unit. Whether counting cubes or using measurements, you can find the correct volume easily. Let's explore the basics of volume calculation!
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What is it? • Volume is the measure of the space a solid figure occupies. • I tell kids it’s the inside space of a 3-d shape. • Examples of volume are the inside of a box, the amount of water in a fish tank, and the amount of sand in a sandbox. • Volume can be found using the formula Volume = Length X width x height.
Finding the volume Volume = length X width X height 4 X 5 x 10 = ? I can multiply 4 X 5 or 5 X 10 or 4 X 10 first. It doesn’t matter because I’ll get the same answer either way. That’s commutative property in action! I’ll just do the 4 X 5 first. 4 X 5 = 20 Don’t forget to multiply the 10! 20X 10 = ? One of my favorite shortcuts in math is using the zeroes. Multiply the 2 and 1. You get 2. Then add up all the zeroes. You have two, so put two zeroes on the end. The answer is 200 m3 • This is usually pretty easy…if you can multiply. Just multiply the three measurements together. • Don’t forget to cube the measurement and place it to the right of your answer. That means put a small three up high to the right of the unit (measurement).
Volume with Cubes? 3 cubes 3 cubes 4 cubes • Sometimes you’ll need to find the volume of a rectangular prism (That’s a box) and the measurements are missing! Oh no! Don’t panic. You can count the cubes to find the measurements. • Some people like to count all the cubes. I say do it either way as long as you get the correct answer and you can explain what you did. I need to find my three measurements. If I count the cubes I’ll see there’s a 4, 3, and 3. So, I’ll plug these measurement into the formula for volume (V = L X W X H). My equation is 4 X 3 X 3 = ? I like to work from left to right, so I’ll do 4 X 3 = 12. I can’t forget to do the 3! 12 X 3 = ? The answer is 36. The unit (measurement) isn’t listed, so I’ll use cubes. My final answer is 36 c3.
