Short Answer
The volume of a pyramid can be calculated with the formula Volume = (1/3) √ó Base Area √ó Height. For a base of 8 and a height of 6, the volume calculates to 16 cubic inches after applying the formula.
Step 1: Understand the Formula for Volume
The volume of a pyramid can be calculated using the formula: Volume = (1/3) √ó Base Area √ó Height. This means that the volume is one-third of the product of the base area and the height. Knowing this formula is crucial for solving pyramid volume problems.
Step 2: Identify the Base and Height
In this problem, the dimensions provided are: Base = 8 and Height = 6. Ensure that these values are correctly identified as they are critical for volume calculation. The base value usually refers to the shape of the base area of the pyramid, and the height is the vertical distance from the base to the apex.
Step 3: Perform the Calculation
To find the volume, use the values in the formula: Volume = (1/3) √ó 8 √ó 6. First, multiply the base and height: 8 √ó 6 = 48. Then, calculate one-third of 48 to determine the volume: (1/3) √ó 48 = 16 cubic inches. This gives you the final volume of the pyramid.