Find the volume of a pyramid with a square base, where the perimeter of the base is 18, point, 2, in18.2 in and the height of the pyramid is 10, point, 9, in10.9 in. Round your answer to the nearest tenth of a cubic inch.
Question
Find the volume of a pyramid with a square base, where the perimeter of the base is 18, point, 2, in18.2 in and the height of the pyramid is 10, point, 9, in10.9 in. Round your answer to the nearest tenth of a cubic inch.
Solution
To find the volume of a pyramid, you can use the formula: V = 1/3 * base area * height.
Step 1: Find the length of one side of the base. The base is a square and the perimeter of a square is given by 4 * side length. So, the side length is the perimeter divided by 4. 18.2 in / 4 = 4.55 in
Step 2: Find the area of the base. The area of a square is side length squared. 4.55 in * 4.55 in = 20.7 square inches
Step 3: Find the volume of the pyramid. V = 1/3 * base area * height V = 1/3 * 20.7 in^2 * 10.9 in = 75.1 cubic inches
So, the volume of the pyramid is approximately 75.1 cubic inches, rounded to the nearest tenth.
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