Chapter SR19, Problem 4P

Solution

Find the surface area and volume of the solid.

The surface area of rectangular prism $=136m^2$

The volume of rectangular prism $=80m^3$

Given:

The given solid.

  

Concept Used:

• Formula of surface area of rectangular prism $=2(lw+lh+wh)$ .
• Formula of volume of rectangular prism $=l\cdot w\cdot h$

Calculation:

The given solid is -

  

As the given solid is rectangular prism.

The surface area of rectangular prism $=2(lw+lh+wh)$

  $\begin{array}{l}=2(10\cdot 4+4\cdot 2+2\cdot 10)\\ =2(40+8+20)\\ =2(68)\\ =136\end{array}$

So, The surface area of rectangular prism $=136m^2$

The volume of rectangular prism $=l\cdot w\cdot h$

  $\begin{array}{l}=10\cdot 4\cdot 2\\ =40\cdot 2\\ =80\end{array}$

So, The volume of rectangular prism $=80m^3$