Calculate the volume in liters of a rectangular object with dimensions 13.0 cm * 11.0 cm * 12.0 cm. (a) 1720 L (b) 1.72 L (c) 14.3 L (d) 2.41 L

Verified step by step guidance

1. Convert the dimensions from centimeters to meters by dividing each dimension by 100, since 1 meter = 100 centimeters. This will give you the dimensions in meters: 0.13 m, 0.11 m, and 0.12 m.
2. Calculate the volume in cubic meters by multiplying the three dimensions together: Volume (m^3) = 0.13 m * 0.11 m * 0.12 m.
3. Convert the volume from cubic meters to liters. Remember that 1 cubic meter is equivalent to 1000 liters.
4. Multiply the volume in cubic meters by 1000 to get the volume in liters.
5. Compare the calculated volume in liters with the given options to determine the correct answer.>

Key Concepts

Volume Calculation

Volume is a measure of the space occupied by an object, typically expressed in cubic units. For rectangular objects, the volume can be calculated using the formula V = length × width × height. In this case, the dimensions are given in centimeters, so the volume will initially be calculated in cubic centimeters (cm³).

Unit Conversion

To express volume in liters, a conversion from cubic centimeters to liters is necessary. The conversion factor is that 1 liter is equivalent to 1000 cubic centimeters (cm³). Therefore, after calculating the volume in cm³, dividing by 1000 will yield the volume in liters, which is essential for selecting the correct answer from the options provided.

Dimensional Analysis

Dimensional analysis is a technique used to convert one unit of measurement to another. It involves using conversion factors to ensure that the units cancel appropriately, leading to the desired unit. In this problem, dimensional analysis will help in transitioning from cubic centimeters to liters, ensuring that the final answer is expressed in the correct volume unit.