Perform each unit conversion. b. 116 ft to cm

Verified step by step guidance

Identify the conversion factors needed: 1 foot (ft) is equal to 30.48 centimeters (cm).

Set up the conversion equation using the conversion factor: \( 116 \text{ ft} \times \frac{30.48 \text{ cm}}{1 \text{ ft}} \).

Cancel out the units of feet (ft) to leave the desired unit of centimeters (cm).

Multiply the numerical values: 116 by 30.48.

The result will give you the length in centimeters.

Verified video answer for a similar problem:

This video solution was recommended by our tutors as helpful for the problem above.

Video duration:

Was this helpful?

Key Concepts

Here are the essential concepts you must grasp in order to answer the question correctly.

Unit Conversion

Unit conversion is the process of converting a quantity expressed in one unit to another unit. This involves using conversion factors, which are ratios that express how many of one unit are equivalent to another. For example, to convert feet to centimeters, one must know that 1 foot is equal to 30.48 centimeters.

Dimensional Analysis

Dimensional analysis is a mathematical technique used to convert units by multiplying by conversion factors. It ensures that units cancel appropriately, leading to the desired unit in the final answer. This method is systematic and helps verify that the conversion is done correctly by maintaining the integrity of the units throughout the calculation.

Metric System

The metric system is an internationally recognized decimal-based system of measurement. It includes units such as meters for length, grams for mass, and liters for volume. Understanding the metric system is essential for conversions, as it provides a standardized framework that simplifies the process of converting between different units, such as feet to centimeters.

Recommended video:

Guided course

01:16

Metric Prefixes Usage

Related Practice

Textbook Question

Calculate to the correct number of significant figures. d. (3.14 × 2.4367) - 2.34

views

Textbook Question

A flask containing 11.7 mL of a liquid weighs 132.8 g with the liquid in the flask and 124.1 g when empty. Calculate the density of the liquid in g/mL to the correct number of significant digits.

Textbook Question

Perform each unit conversion. a. 1.4 in to mm

views

Textbook Question

Perform each unit conversion. c. 1845 kg to lb

views

Textbook Question

Perform each unit conversion. d. 815 yd to km

views

Textbook Question

A runner wants to run 10.0 km. Her running pace is 7.5 mi per hour. How many minutes must she run?