X and Y are two rectangular containers.

Question

The base area of X is 800cm2.The base area of Y is 600cm2.The height of X is 5/6 the height of Y. X contains water to a height of 36cm. The volume of water in X will fill Y completely. How much more water is needed to fill X to the brim?

Answer 1

X has base area of 800 cm^2

Y has base area of 600 cm^2

height of X = 5/6 of height Y

x has height of water of 36 cm

volume of current X fills Y to the brim

how much more water is needed to fill X to the brim?

2,880 cm^2 is needed

X ht = 5/6 Y ht = 36

Y ht = (6/5)36) = 216/5

600 cm^2 x 216/5 cm = 120x216 = 25,920 cm^3= volume of Y

800 cm^2 x 36 cm = 28,800 cm^3 = volume of X

28,800 cm^3 -25,920 cm^3 = 2,880 cm^3 needed to fill X