Chapter 12, Problem 4RP

To determine

To find: The volume of a cuboid which is obtained by folding the given figure along dotted lines.

Answer to Problem 4RP

The volume of the solid formed is $90{\text{units}}^3.$

Explanation of Solution

Given Information:

Length of a cuboid $\left(l\right)=9$

Breadth of a cuboid $\left(b\right)=2$

Height of a cuboid $\left(h\right)=5$

Formula used:

Volume of a cuboid $\left(V\right)=lbh$

  $l,b\text{and}h$ are the length, breadth and height of a cuboid respectively

Calculation:

Now, when we fold the figure along the dotted lines, we get a cuboid.

Length of the cuboid $\left(l\right)=9$

Breadth of the cuboid $\left(b\right)=2$

Height of the cuboid $\left(h\right)=7-2=5$

Now we know that, Volume of a cuboid $\left(V\right)=lbh$

As $l=9,b=2,h=5$

  $\begin{array}{l}\therefore V=9\times 2\times 5\\ \therefore V=90{\text{units}}^3\end{array}$

Hence, the volume of the solid formed is $90{\text{units}}^3.$