Chapter 12, Problem 9PT

To determine

To calculate:To find the surface area of the ottoman that we be reupholstered, not including the bottom and round to the nearest tenth

Answer to Problem 9PT

The required surface area of ottoman is $25.375f{t}^3$

Explanation of Solution

Given information:Ottoman is

  

Formula Used:

Surface area of cuboid is given as

  $SA=2\left(lw+lh+hw\right)$

Where,

  $l=$ Length

  $w=$ Width

  $h=$ Height

Calculation:

Ottoman is given as follows:

  

Here, the ottoman is in cuboid shape with below dimensions:

  $\begin{array}{l}Length=1.75ft\\ Width=3.5ft\\ Height=1.25ft\end{array}$

Surface area is calculated as follows:

  $SA=2\left(lw+lh+hw\right)$

Substituting the values, volume is

  $\begin{array}{l}SA=2\left(\left(1.75\right)\left(3.5\right)+\left(1.75\right)\left(1.25\right)+\left(1.25\right)\left(3.5\right)\right)\\ SA=2\left(6.125+2.1875+4.375\right)\\ SA=2\left(12.6875\right)\\ SA=25.375\end{array}$

Conclusion:

Hence, required surface area of ottoman is $25.375f{t}^3$