Find the volume and the surface area of a cuboid with dimensions:
length = 1.5 cm , breadth = 90 cm , height = 70 cm

Answer

To find the volume and surface area of a cuboid with the given dimensions, we will follow these steps:

### Given:
- Length (l) = 1.5 cm
- Breadth (b) = 90 cm
- Height (h) = 70 cm

### Step 1: Calculate the Volume of the Cuboid
The formula for the volume \( V \) of a cuboid is:
\[ V = l \times b \times h \]

Substituting the given values:
\[ V = 1.5 \, \text{cm} \times 90 \, \text{cm} \times 70 \, \text{cm} \]

### Step 2: Perform the Multiplication
First, multiply the length and breadth:
\[ 1.5 \times 90 = 135 \, \text{cm}^2 \]

Now, multiply this result by the height:
\[ 135 \, \text{cm}^2 \times 70 \, \text{cm} = 9450 \, \text{cm}^3 \]

Thus, the volume of the cuboid is:
\[ \text{Volume} = 9450 \, \text{cm}^3 \]

### Step 3: Calculate the Surface Area of the Cuboid
The formula for the surface area \( SA \) of a cuboid is:
\[ SA = 2(lb + bh + hl) \]

Substituting the given values:
\[ SA = 2(1.5 \, \text{cm} \times 90 \, \text{cm} + 90 \, \text{cm} \times 70 \, \text{cm} + 70 \, \text{cm} \times 1.5 \, \text{cm}) \]

### Step 4: Calculate Each Term Inside the Parentheses
1. Calculate \( lb \):
\[ 1.5 \times 90 = 135 \, \text{cm}^2 \]
2. Calculate \( bh \):
\[ 90 \times 70 = 6300 \, \text{cm}^2 \]
3. Calculate \( hl \):
\[ 70 \times 1.5 = 105 \, \text{cm}^2 \]

### Step 5: Add the Areas Together
Now, add these areas:
\[ 135 + 6300 + 105 = 6340 \, \text{cm}^2 \]

### Step 6: Multiply by 2 for Surface Area
Now, multiply by 2:
\[ SA = 2 \times 6340 = 12680 \, \text{cm}^2 \]

### Final Answers
- Volume of the cuboid = \( 9450 \, \text{cm}^3 \)
- Surface Area of the cuboid = \( 12680 \, \text{cm}^2 \)