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A pyramid has a square base. Each side of the base is 20in. The height of the pyramid is 14in. What is the volume of the pyramis 73,27

A pyramid has a square base. Each side of the base is 20in 20 \mathrm{in} . The height of the pyramid is 14in 14 \mathrm{in} . What is the volume of the pyramid?

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Q. A pyramid has a square base. Each side of the base is 20in 20 \mathrm{in} . The height of the pyramid is 14in 14 \mathrm{in} . What is the volume of the pyramid?
  1. Identify formula for volume: Identify the formula for the volume of a pyramid with a square base.\newlineThe volume VV of a pyramid is given by the formula V=13×base area×heightV = \frac{1}{3} \times \text{base area} \times \text{height}.\newlineHere, the base area is the area of the square base, which is side length squared.
  2. Calculate base area: Calculate the area of the square base.\newlineSince each side of the base is 2020 inches, the area (AA) is 2020 inches ×\times 2020 inches.\newlineA=20 in×20 in=400 square inches.A = 20 \, \text{in} \times 20 \, \text{in} = 400 \, \text{square inches}.
  3. Substitute base area and height: Substitute the base area and the height into the volume formula.\newlineThe height hh of the pyramid is 1414 inches.\newlineUsing the volume formula V=13×base area×heightV = \frac{1}{3} \times \text{base area} \times \text{height}, we get V=13×400 in2×14 inV = \frac{1}{3} \times 400 \text{ in}^2 \times 14 \text{ in}.
  4. Calculate volume: Calculate the volume of the pyramid. V=13×400 in2×14 in=13×5600 in3=1866.67 cubic inches.V = \frac{1}{3} \times 400 \, \text{in}^2 \times 14 \, \text{in} = \frac{1}{3} \times 5600 \, \text{in}^3 = 1866.67 \, \text{cubic inches}.
  5. Check final answer: Check the final answer for any mathematical errors. The calculation seems correct, and there are no mathematical errors.

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