The length of an aquarium, which has the form of a rectangular solid, is equal to 5 decimeters, and the width is 4/5 the length. when you put 40 liters of water into the aquarium, it was full to 2/3 its volume. what part of the length makes up the height of the aquarium? (1 liter is equal by volume to 1 decimeter^3)

The height of aquarium is of its length

Step-by-step explanation:

It is given that the length of rectangular aquarium is 5 decimeter

width of aquarium = of length

                              = decimeter

so we have

width of aquarium = 4 decimeter

Let us assume the height of aquarium be x decimeter

so the volume of the aquarium = length × width × height

Volume of aquarium = 5(4)(x)= 20x decimeter³

it is given that 40 liters of water is of volume of aquarium

also

1 liter = 1 decimeter³

Therefore, 40 liters = 40 decimeter³

now we have

of volume of aquarium = 40

multiply both side by 3

divide both side by 40

x = 3 decimeter

height of aquarium = 3 decimeter

comparing height and length

hence the height of aquarium is of its length

7 weeks

step-by-step explanation:

convert each fraction to the least common multiple of 20, so 3/4 = 15/20 & 1/10 = 2/20, then divide 15 by 2 and you get a little over 7, so the food will last 7 weeks.