Calculate Cuboid Height: Volume 90 cm³ with 10 cm Square Base

To solve the problem of finding the height of the cuboid, we will follow these steps:

• Step 1: Calculate the area of the square base of the cuboid.
• Step 2: Use the volume formula to set up an equation and solve for the height.

Now, let's work through each step:

Step 1: Calculate the square base area.
The side length of the square base is $s = 10$ cm. Thus, the area of the base is given by:

$\text{Area} = s^2 = 10^2 = 100$ cm$^2$.

Step 2: Use the volume formula.
The volume of the cuboid is given by the formula:

$V = \text{base area} \times h$.

We know the volume $V = 90$ cm$^3$, and the base area is $100$ cm$^2$. Therefore, we have:

$90 = 100 \times h$.

To find the height $h$, solve the equation:

$h = \frac{90}{100} = 0.9$ cm.

Therefore, the solution to the problem is that the height of the cuboid is $0.9$ cm.