Question

Find the total surface area of a cuboid of dimensions $10\text{m}\times 5\text{m}\times 13\text{m}$.

• A. $590{\text{m}}^2$
• B. $550{\text{m}}^2$
• C. $450{\text{m}}^2$
• D. $490{\text{m}}^2$

Answer 1

The correct option is D $490{\text{m}}^2$

Total surface area (TSA) of a cuboid of dimensions $l\times b\times h$ is given by, $2(lb+bh+hl)$.
Here,
$\text{length,}l=10\text{m}\text{breadth,}b=5\text{m}\text{height,}h=13\text{m}.\therefore \text{TSA}=2\left[\right(10\times 5)+(5\times 13)+(13\times 10\left)\right]=2\times (50+65+130)=2\times \left(245\right)=490{\text{m}}^2$