- Base area of the cuboid = 180 cm²
- Volume of the cuboid = 90 cm³


The volume of a cuboid is given by the formula:
Volume = Length × Width × Height


Let's assume the length, width, and height of the cuboid as l, w, and h, respectively.


The base area is given as 180 cm².
We know that the base area of a cuboid is equal to the length multiplied by the width.
So, lw = 180


The volume of the cuboid is given as 90 cm³.
Using the formula, lwh = 90


From Step 1, we have lw = 180
From Step 2, we have lwh = 90

We need to find the height (h) of the cuboid.

By rearranging the equation from Step 2, we get h = 90 ÷ lw


Substituting the value of lw from Step 1 into the equation from Step 3, we get:
h = 90 ÷ (180 ÷ w)
h = 90w ÷ 180
h = w ÷ 2


Since the height cannot be zero, we can substitute different values for w and calculate the corresponding height.

For example, if we assume w = 10 cm, then h = 10 ÷ 2 = 5 cm.


Therefore, the height of the cuboid is 5 cm.

In summary, the height of the cuboid can be determined by dividing the base area by the product of length and width. In this case, the height is found to be 5 cm.