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An aquarium shaped like a rectangular prism has a length of 24 inches, a width of 12 inches and a height of 18 inches. You fill the aquarium half full of water. When you submerge a rock in the aquarium, the water level rises 0.5 inch. Find the volume of the rock

Respuesta :

musiclover10045

The volume of water rises 0.5 inches, so we can use that as the height of the water.

Volume = Length x width x height:

Length is given as 24, width is given as 12


The volume of the rock = 24 x 12 x 0.5 = 144 cubic inches.

oladayoademosu

The volume of the rock is 144 in³

Volume of the rock

Since the aquarium is in the shape of a rectangular prism and the water level rises 0.5 inches when the rock is submerged in it, the volume of the rock V' = AΔh where

  • A = area of base of aquarium = lb where
  • l = length = 24 in and
  • w = width = 12 in and
  • Δh = rise in water level = 0.5 in

Substituting the values of the variables into the equation, we have

V' = AΔh

V' = lbΔh

V' = 24 in × 12 in × 0.5 in

V' = 144 in³

The volume of the rock is 144 in³

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