Final answer:
To find the volume of a frustum of a pyramid, you can use the formula V = (1/3) * h * (A1 + sqrt(A1 * A2) + A2), where A1 and A2 are the areas of the bases and h is the height. Plug in the values and calculate.
Step-by-step explanation:
To find the volume of a frustum of a pyramid, we can use the formula for the volume of a pyramid and subtract the volume of the smaller pyramid from the volume of the larger pyramid. The formula for the volume of a pyramid is V = (1/3) * h * (A1 + sqrt(A1 * A2) + A2), where A1 and A2 are the areas of the bases and h is the height. In this case, the larger pyramid has a square base with side length 21, and the smaller pyramid has a square top with side length 13. Since the height is given as 10, we can plug these values into the formula to find the volume.
V = (1/3) * 10 * (21^2 + sqrt(21^2 * 13^2) + 13^2)