) a smart phone has dimensions of 4.9 inches (height), 2.3 inches (width) and 8.0 millimeters (depth). what is the volume of the smart phone in cubic centimeters? (1 in = 2.54 cm)

Respuesta :

Answer: 58.11 cm³

Step-by-step explanation:

1. The volume can be calculated with the following formula:

[tex]V=h*w*d[/tex]

Where l is the lenght, w is the width and h is the heigth of the smartphone.

2. You know that the dimensions are:

[tex]h=4.9in\\w=2.3in\\d=8mm[/tex]

3. Convert the height and the width from inches to centimeters, as following:

[tex]h=\frac{4.9in*2.54cm}{1cm}=12.44cm[/tex]

[tex]w=\frac{2.3in*2.54cm}{1cm}=5.84cm[/tex]

4. Convert milimeters to centimeters:

[tex]d=\frac{8mm}{10}=0.8cm[/tex]

4. Then, the volume is:

[tex]V=(12.44cm)(5.84cm)(0.8cm)=58.11cm^{3}[/tex]