Question

Find the total surface area of the cuboid if length is 12 cm, breadth 8 cm and height is 10 cm (in cubic cm.)

• A. 792
• B. 692
• C. 592
• D. 562

Hint:

For a cuboid, remember to apply the surface area formula: \[ 2(l \times b + b \times h + h \times l) \] This formula sums the areas of all six faces of the cuboid.

Answer 1

The Correct Option is C

Step 1: Formula for Total Surface Area of a Cuboid.
The formula for the total surface area of a cuboid is: \[ \text{Surface Area} = 2 \left( l \times b + b \times h + h \times l \right) \] Where: \( l \) is the length, \( b \) is the breadth, and \( h \) is the height of the cuboid.

Step 2: Apply the given values.
Here, \( l = 12 \, \text{cm} \), \( b = 8 \, \text{cm} \), \( h = 10 \, \text{cm} \).
Substitute these values into the formula: \[ \text{Surface Area} = 2 \left( 12 \times 8 + 8 \times 10 + 10 \times 12 \right) \] \[ \text{Surface Area} = 2 \left( 96 + 80 + 120 \right) = 2 \times 296 = 592 \]

Step 3: Conclusion.
Therefore, the total surface area of the cuboid is \( 592 \, \text{cm}^2 \).

Final Answer: 592.