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

The formula for the Total Surface Area (TSA) of a cuboid is:
TSA = $2(lb + bh + hl)$
where $l$ is the length, $b$ is the breadth, and $h$ is the height.
We are given the following dimensions:
Length ($l$) = 12 cm
Breadth ($b$) = 8 cm
Height ($h$) = 10 cm
Substitute these values into the TSA formula:
TSA = $2 \times ((12 \times 8) + (8 \times 10) + (10 \times 12))$.
Calculate the products inside the parentheses:
TSA = $2 \times (96 + 80 + 120)$.
Sum the values inside the parentheses:
TSA = $2 \times (296)$.
Perform the final multiplication:
TSA = 592.
The total surface area is 592 $cm^2$. (Note: The question's unit cubic cm is for volume, while the calculation is for area, which is in square cm).