If the volume of a cuboid is 440 `cm^ 3`, the area of its base is 88 `cm ^2` , then its height is

Options

A. 5 cm
B. 10 cm
C. 11 cm
D. 6 cm

Answer

To find the height of the cuboid given its volume and the area of its base, we can follow these steps:

### Step 1: Understand the formulas
The volume \( V \) of a cuboid can be calculated using the formula:
\[ V = L \times B \times H \]
where \( L \) is the length, \( B \) is the breadth, and \( H \) is the height. The area of the base \( A \) is given by:
\[ A = L \times B \]

### Step 2: Substitute the known values
We are given:
- Volume \( V = 440 \, \text{cm}^3 \)
- Area of the base \( A = 88 \, \text{cm}^2 \)

From the area of the base, we have:
\[ L \times B = 88 \]

### Step 3: Use the volume formula
Substituting the area of the base into the volume formula:
\[ 440 = (L \times B) \times H \]
This can be rewritten as:
\[ 440 = 88 \times H \]

### Step 4: Solve for height \( H \)
To find \( H \), divide both sides of the equation by 88:
\[ H = \frac{440}{88} \]

### Step 5: Perform the division
Calculating the division:
\[ H = 5 \, \text{cm} \]

### Conclusion
The height of the cuboid is \( 5 \, \text{cm} \).

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