Question

The dimensions of the rectangular prism is $8in\times 4in\times 6in$. The total surface area of a rectangular prism is $\frac{x}{3}{\text{in}}^2$. Find the value of $x.$

• A. 208
• B. 624
• C. 208${\text{in}}^2$
• D. 624${\text{in}}^2$

Answer 1

The correct option is B 624

Let's draw a rectangular prism with dimensions given in the questions.
Given,
Length of the rectnagular prism $l=8$ in
Breadth of the rectnagular prism $b=4$ in
Height of the rectnagular prism $w=6$ in

$\to$As we know,
The total surface area of a rectangular prism $=2\left(lb\right)+2\left(bh\right)+2\left(lh\right)$

$(\because \text{Given, total surface area =}\frac{x}{3})$
$\frac{x}{3}=(2\times 8\times 4)+(2\times 4\times 6)+(2\times 8\times 6)$

$\frac{x}{3}=64+48+96$

$\frac{x}{3}=208{\text{m}}^2$

$x=208\times 3=624$

Option (b) is correct.