To find the height of the pentagonal prism, we can use the formula for the volume of a prism:
Volume = base area x height
Given that the base area is 28 units squared and the volume is 280 units cubed, we can substitute these values into the formula:
280 = 28 x height
Now we can solve for the height:
height = 280 / 28
height = 10
Therefore, the height of the pentagonal prism is 10 units.
The pentagonal prism below has a base area of 28 units squared 2 and a volume of 280 units cubed 3 . Find its height.
3 answers
Find the volume of a pyramid with a square base, where the perimeter of the base is 15, point, 4, m15.4m and the height of the pyramid is 13, point, 1, m13.1m. Round your answer to the nearest tenth of a cubic meter.
To find the volume of a pyramid, we can use the formula:
Volume = (1/3) x base area x height
Since the base of the pyramid is a square, the perimeter of the square base is 15.4 m. The formula for the perimeter of a square is 4 x side length, so we can set up the equation:
4s = 15.4
s = 15.4 / 4
s = 3.85
The side length of the square base is 3.85 m.
The base area of the square is side length squared, so we can calculate the base area:
Base area = 3.85^2
Base area = 14.8225 square meters
Now we can substitute the values into the volume formula:
Volume = (1/3) x 14.8225 x 13.1
Volume ≈ 64.7 cubic meters
Therefore, the volume of the pyramid is approximately 64.7 cubic meters.
Volume = (1/3) x base area x height
Since the base of the pyramid is a square, the perimeter of the square base is 15.4 m. The formula for the perimeter of a square is 4 x side length, so we can set up the equation:
4s = 15.4
s = 15.4 / 4
s = 3.85
The side length of the square base is 3.85 m.
The base area of the square is side length squared, so we can calculate the base area:
Base area = 3.85^2
Base area = 14.8225 square meters
Now we can substitute the values into the volume formula:
Volume = (1/3) x 14.8225 x 13.1
Volume ≈ 64.7 cubic meters
Therefore, the volume of the pyramid is approximately 64.7 cubic meters.