The aquarium has the shape of a rectangular parallelepipid, its width is 7.2, which is 80% of the length
The aquarium has the shape of a rectangular parallelepipid, its width is 7.2, which is 80% of the length a) find the height of the aquarium if its volume is 421.2 dm3 b) how much water is poured into the aquarium if the water level is three-fifths of the height of the aquarium? round the result to ten
A rectangular parallelepiped is a straight parallelepiped in which all faces are rectangles.
The volume of a rectangular parallelepiped is equal to the product of the area of the base and the height.
V = S * h = a * b * c, where a, b, c are the edges of a rectangular parallelepiped.
Aquarium length 7.2 / 0.8 = 9 dm.
V = 7.2 * 9 * x = 421.2 dm3.
x = 421.2 / 7.2 / 9 = 6.5 dm.
The height of the aquarium is 6.5 dm.
V2 = 7.2 * 9 * 6.5 * 3/5 = 252.7 dm3 = 252.7 liters.
The aquarium contains 252.7 liters of water.
Answer: the height of the aquarium is 6.5 dm, and the water in the aquarium is 252.7 liters.