Calculate Cuboid Height: Given 8cm Length, 4cm Width, 96cm³ Volume

To solve this problem, follow these steps:

• Step 1: Identify the known values and the formula.
• Step 2: Substitute the known values into the formula and solve for the unknown.
• Step 3: Perform the calculations to find the height.

Now, let's work through each step:

Step 1: We know the length ($L$) is $8 \, \text{cm}$, the width ($W$) is $4 \, \text{cm}$, and the volume ($V$) is $96 \, \text{cm}^3$. The formula for the volume of a cuboid is:

$V = L \times W \times H$, where $H$ is the height.

Step 2: Rearrange the formula to solve for $H$:

$H = \frac{V}{L \times W}$

Step 3: Substitute the known values:

$H = \frac{96}{8 \times 4}$

Calculate the denominator:

$8 \times 4 = 32$

Substitute back into the equation:

$H = \frac{96}{32}$

Calculate the height:

$H = 3 \, \text{cm}$.

Therefore, the height of the cuboid is $3 \, \text{cm}$.