Find the volume of a pyramid with a square base, where the perimeter of the base is 4, point, 1, m4.1 m and the height of the pyramid is 1, point, 7, m1.7 m. Round your answer to the nearest tenth of a cubic meter.
First, we need to find the area of the base of the pyramid, which is a square.
Since the perimeter of the base is given as 4.1 m, we divide this by 4 to find the length of one side:
4.1/4 = 1.025 m
Now, we can find the area of the base by squaring the length of one side:
1.025^2 = 1.050625 m^2
Next, we can calculate the volume of the pyramid using the formula:
V = (1/3) * base area * height
V = (1/3) * 1.050625 * 1.7
V ≈ 0.596 cubic meters
Therefore, the volume of the pyramid is approximately 0.6 cubic meters.