The volume of a cuboid is $440 cm^3$ and the area of its base is $88 cm^2$, then the height of the cuboid will be

Question

Accepted Answer

To determine the height of the cuboid, we can use the formula for the volume of a cuboid:

$$ \text{Volume} = \text{Base Area} \times \text{Height} $$

Given:
- Volume of the cuboid = 440 cm³
- Area of the base = 88 cm²

We need to find the height of the cuboid. Rearranging the formula to solve for height, we have:

$$ \text{Height} = \frac{\text{Volume}}{\text{Base Area}} $$

Substituting the given values:

$$ \text{Height} = \frac{440 \, \text{cm}^3}{88 \, \text{cm}^2} = 5 \, \text{cm} $$

Thus, the height of the cuboid is 5 cm, which corresponds to Option 4.

**Explanation for why Option 4 is correct:**
- By dividing the volume of the cuboid by the area of its base, we accurately calculate the height as 5 cm. This matches Option 4, confirming it as the correct answer.

**Explanation for why other options are incorrect:**
1. **Option 1 (3 cm):** If the height were 3 cm, the volume would be calculated as $ 88 \, \text{cm}^2 \times 3 \, \text{cm} = 264 \, \text{cm}^3 $, which does not match the given volume of 440 cm³.
   
2. **Option 2 (2.5 cm):** If the height were 2.5 cm, the volume would be $ 88 \, \text{cm}^2 \times 2.5 \, \text{cm} = 220 \, \text{cm}^3 $, which is also incorrect.

3. **Option 3 (6 cm):** If the height were 6 cm, the volume would be $ 88 \, \text{cm}^2 \times 6 \, \text{cm} = 528 \, \text{cm}^3 $, which exceeds the given volume.

Therefore, Option 4 is the only correct choice, as it aligns perfectly with the given data and calculations.