Answer:
1728 cm³
Step-by-step explanation:
Finding the volume of a cube is a simple process that is easy to remember. The formula for finding the volume of a cube is commonly taught as L × W × H (<em>Length</em> × <em>Width </em>× <em>Height</em>). This formula also works with finding the volume of rectangular prisms.
Since the shape you're finding the volume of is cube, <u>the length is equal to its width as well as its height</u>.
The first step of this problem is to plug in known values to the formula. <u>Since length L = 12 cm, width W and height H are also equal to 12 cm.</u>
12 × 12 × 12 is the new expression. The next step is to simplify this expression by multiplying.
Based on times tables, 12 × 12 = 144. So, the expression can be partially simplified to 144 × 12 for easier multiplication.
144 × 12 can be split into an addition problem based on the <em>Distributive Property of Multiplication</em>:
144 × (10 + 2) Expand the expression to remove parentheses.
144 × 10 + 144 × 2 Multiply 144 × 10 and 144 × 2.
1440 + 288 Add the two addends.
1728 <u>Remember to add back the units!</u>
1728 cm³
<u>The volume of a cube with side lengths of 12cm is </u><u>1728 cm³</u><u>.</u>
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<u>Note:</u>
This step-by-step explanation is for better understanding how to do this mentally or without a calculator. In a calculator, finding the volume of a cube can be found by inputting either of these:
(Side Length) × (Side Length) × (Side Length) =
(Side Length) [(x³) or (³), depending on the model of calculator] =