Calculate Cuboid Width: Given Volume 84cm³, Length 7cm, Height 4cm

To solve this problem, we will first use the formula for the volume of a cuboid:

$\text{Volume} = \text{Length} \times \text{Width} \times \text{Height}$

Given:

• Length = $7 \, \text{cm}$
• Height = $4 \, \text{cm}$
• Volume = $84 \, \text{cm}^3$

We need to find the width. We can rearrange the formula to solve for the width:

$\text{Width} = \frac{\text{Volume}}{\text{Length} \times \text{Height}}$

Substitute the given values into the formula:

$\text{Width} = \frac{84}{7 \times 4}$

Calculate the denominator first:

$7 \times 4 = 28$

Now substitute back into the calculation for width:

$\text{Width} = \frac{84}{28}$

Simplify the calculation:

$\text{Width} = 3 \, \text{cm}$

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