The bottom area of two cuboids should be equal. One cuboid has a volume of 36 cubic decimeters and a height of 24 decimeters; the other cuboid has a volume of 45 cubic decimeters and a height of 45 decimeters

The bottom area of two cuboids should be equal. One cuboid has a volume of 36 cubic decimeters and a height of 24 decimeters; the other cuboid has a volume of 45 cubic decimeters and a height of 45 decimeters

set up
The height is x decimeters
36:24=45：x
The solution is x = 30

A cuboid has a volume of 96 cubic decimeters and a bottom area of 24 square decimeters. What is its height?

Height = 96 △ 24 = 4 decimeters

A cuboid shaped container with a bottom area of 16 square decimeters and a water height of 6 decimeters is put into an iron block with a volume of 24 cubic decimeters
I made a mistake. Sorry. It should be: 24 / 16 + 6

Method 1: the original volume of water = s × H = 16 × 6 = 96 cubic decimeter
After adding iron, the total volume is 96 + 24 = 120 cubic decimeters, and the water surface height is 120 △ 16 = 7.5 decimeters
Method 2: put 24 cubic decimeter iron into the container, which is equivalent to adding 24 cubic decimeter water
The height of the water increased by 24 cubic decimeters = 24 △ 16 = 1.5 decimeters, then the height of the water surface in the container is 6 + 1.5 = 7.5 decimeters