Find the volume and total surface area of a cuboid whose length = 3.5 m, breadth = 2.6 m and height = 0.9 m.

Answer

To solve the problem of finding the volume and total surface area of a cuboid with given dimensions, we can follow these steps:

### Step 1: Identify the dimensions of the cuboid
- Length (l) = 3.5 m
- Breadth (b) = 2.6 m
- Height (h) = 0.9 m

### Step 2: Calculate the volume of the cuboid
The formula for the volume (V) of a cuboid is given by:
\[ V = \text{length} \times \text{breadth} \times \text{height} \]

Substituting the values:
\[ V = 3.5 \, \text{m} \times 2.6 \, \text{m} \times 0.9 \, \text{m} \]

Calculating this step-by-step:
1. First, calculate \( 3.5 \times 2.6 \):
\[ 3.5 \times 2.6 = 9.1 \]
2. Next, multiply the result by 0.9:
\[ 9.1 \times 0.9 = 8.19 \]

Thus, the volume of the cuboid is:
\[ V = 8.19 \, \text{m}^3 \]

### Step 3: Calculate the total surface area of the cuboid
The formula for the total surface area (SA) of a cuboid is given by:
\[ SA = 2 \times (l \times b + b \times h + h \times l) \]

Substituting the values:
\[ SA = 2 \times (3.5 \times 2.6 + 2.6 \times 0.9 + 0.9 \times 3.5) \]

Calculating each term inside the parentheses:
1. Calculate \( 3.5 \times 2.6 \):
\[ 3.5 \times 2.6 = 9.1 \]
2. Calculate \( 2.6 \times 0.9 \):
\[ 2.6 \times 0.9 = 2.34 \]
3. Calculate \( 0.9 \times 3.5 \):
\[ 0.9 \times 3.5 = 3.15 \]

Now, add these results together:
\[ 9.1 + 2.34 + 3.15 = 14.59 \]

Finally, multiply by 2 to find the total surface area:
\[ SA = 2 \times 14.59 = 29.18 \, \text{m}^2 \]

### Final Results
- Volume of the cuboid = \( 8.19 \, \text{m}^3 \)
- Total Surface Area of the cuboid = \( 29.18 \, \text{m}^2 \)

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