Find the volume of a pyramid with a square base, where the side length of the base is 18.5 in and the height of the pyramid is 10.9. Round your answer to the nearest tenth of a cubic inch.
someone help me
18.6 is right
To find the volume of a pyramid, you can use the formula:
Volume = (1/3) * base area * height
In this case, the base of the pyramid is a square with side length 18.5 inches, so the base area can be found by squaring the side length:
Base area = (18.5 in)^2
Next, we substitute the values into the formula:
Volume = (1/3) * (18.5 in)^2 * 10.9 in
Now, we can calculate:
Base area = (18.5 in) * (18.5 in) = 342.25 in^2
Volume = (1/3) * 342.25 in^2 * 10.9 in
Multiply the base area by the height and then divide by 3:
Volume = 3980.325 in^3
Finally, round the answer to the nearest tenth of a cubic inch:
Volume ≈ 3980.3 in^3
Therefore, the volume of the pyramid is approximately 3980.3 cubic inches.
54.2
Rounded.
All pointy things have volume V = 1/3 Bh
So, this pyramid has volume
v = 1/3 * 18.5^2 * 10.9 = 1243.5 in^3