Question

a rectangular garden bed is 8.60 meters long, 5.04 meters wide, and 0.41 meters deep. what is the volume of the garden bed, rounded to the appropriate number of significant figures? use the keypad to enter your answer in the box. the volume of the garden bed is cubic meters when rounded to the appropriate number of significant figures.

Explanation:

Step1: Calculate the volume

The formula for the volume \(V\) of a rectangular prism is \(V = l\times w\times h\), where \(l = 8.60\), \(w = 5.04\), and \(h=0.41\).

$$V=8.60\times5.04\times0.41$$

First, \(8.60\times5.04 = 43.344\). Then \(43.344\times0.41=17.77104\).

Step2: Determine the number of significant figures

• \(8.60\) has three significant figures.
• \(5.04\) has three significant figures.
• \(0.41\) has two significant figures.

When multiplying, the result should have the same number of significant figures as the factor with the least number of significant figures. So we round \(17.77104\) to two significant figures. \(17.77104\approx18\)

Answer:

\(18\)