Chapter 1, Problem 47A

To determine

The volume enclosed by the room.

Answer to Problem 47A

The volume enclosed by the room is $V=2.4\times {10}^2{\text{m}}^3$ .

Explanation of Solution

Given info:

The length $\left(l\right)$ of the room is $16.40\text{m}$

The width $\left(b\right)$ of the room is $4.5\text{m}$ .

The height $\left(h\right)$ of the room is $3.26\text{m}$ .

Formula used:

The expression for the volume $\left(V\right)$ enclosed by the room is as follows:

  $V=lbh$

Calculation:

Find the volume enclosed by the room as follows:

Substituting the values for length, width, and height of the room,

  $\begin{array}{l}V=lbh\\ V=16.40\times 4.5\times 3.26\\ V=240.588{\text{m}}^3\end{array}$

The result has to be rounded off to the same number of significant digits as the least precise measurements (length, width, and height). The least precise measurement in this case is the width of the room with two significant digits. Hence, the measured volume has to be rounded off to two significant digits as follows:

  $V=2.4\times {10}^2{\text{m}}^3$

Conclusion:

Thus, the volume enclosed by the room is $V=2.4\times {10}^2{\text{m}}^3$ .