2. the volume of a rectangular solid is 5376 cubic meters, and the base is 24 meters by 16 meters. find the height of the solid.
Volume/(base area) = 14 m
the volume of a rectangular solid is 5376 cubic meters, and the base is 24 meters by 16 meters. find the height of the solid.
To find the height of the rectangular solid, we can use the formula for the volume of a rectangular solid:
Volume = Length * Width * Height
Given that the volume of the rectangular solid is 5376 cubic meters and the base is 24 meters by 16 meters, we can substitute these values into the formula and solve for the height.
5376 = 24 * 16 * Height
To solve for Height, divide both sides of the equation by (24 * 16):
Height = 5376 / (24 * 16)
Simplifying the equation:
Height = 5376 / 384
Height = 14
Therefore, the height of the rectangular solid is 14 meters.