📘 unit conversion
Step-by-step solutions with LaTeX - clean, fast, and student-friendly.
Time To Seconds
1. Convert each time duration to seconds by using the conversions: 1 hour = 3600 seconds, 1 minute = 60 seconds, 1 day = 86400 seconds, 1 week = 604800 seconds.
2. Calculate each c
Unit Conversion
1. **State the problem:** Convert 28 grams per nanometer cubed (g/nm³) to kilograms per centimeter cubed (kg/cm³).
2. **Understand the units:**
Length Addition
1. **Stating the problem:** We need to add the lengths given in different units: 0.75 m, 231 dam, 25000 mm, 2.25 dm, and 1.94 hm, then find the correct total length from the given
Length Addition
1. Stating the problem: We need to add the lengths given in different units: 0.75 m, 231 dam, 25000 mm, 2.25 dm, and 1.94 hm.
2. Convert all units to meters (m) for easy addition:
Mpg To Kmpl
1. **State the problem:** Convert 54 miles per gallon (mpg) into kilometres per litre (km/L).
2. **Given conversions:**
Flow Rate Conversion
1. The problem asks to convert a flow rate from millilitres per second to litres per hour.
2. We start with the given rate: 240 millilitres per second.
Ml To Liters
1. **State the problem:** Convert 450 milliliters (mL) to liters (L).
2. **Recall the conversion factor:** 1 liter (L) = 1000 milliliters (mL).
Grapefruit Juice Volume
1. The problem states that the factory produced $0.07 \text{ m}^3$ of grapefruit juice and $4000 \text{ cm}^3$ was removed for quality testing. We need to find out how much is left
Office Area
1. Let's start by stating the problem: We know Tina's office area is 8.2 m².
2. Bill's office area is 7100 cm² larger than Tina's office.
Mass Conversion
1. The problem asks to convert 5 kilograms and 5 grams into grams.
2. We know that 1 kilogram equals 1000 grams.
Unit Conversion
1. Stating the problem: Convert $3\,\text{dm} + 4\,\text{cm}$ into centimeters.
2. Recall the unit conversions: 1 decimeter (dm) = 10 centimeters (cm).
Height Weight Conversion
1. **State the problem:** Convert height from feet and inches to meters, and weight from pounds to kilograms.
2. **Convert height:** The player is 6 ft 10 1/5 in tall. First, conve
Convert Grams Kilograms
1. The user asked to replace grams (g) with kilograms (kg).
2. Recall that 1 kilogram (kg) equals 1000 grams (g).
Distance Hectometers
1. The problem involves understanding the distance measurement given as 85 hectometers.
2. A hectometer (hm) is a unit of length in the metric system equal to 100 meters.
Subtract Lengths
1. First, convert everything to the same unit (meters).
2. 48 meters 55 cm can be written as $$48 + \frac{55}{100} = 48.55$$ meters.
Time Wasted
1. The problem asks for the total time Maria wastes on social media in four weeks, in seconds.
2. First, convert the daily time from hours and minutes to seconds. Maria wastes 5 ho
Miles To Meters
1. The problem is to convert 25 miles into meters given that 1 mile is approximately 1.609 kilometers.
2. First, convert miles to kilometers using the conversion factor:
Unit Conversion
1. The problem asks to convert the marathon distance from kilometers to miles.
Given:
Minutes To Time
1. The problem is to convert a given number of minutes into a standard time format (hours and minutes).
2. To convert minutes to hours and minutes, divide the total minutes by 60 b
Area Conversion
1. We are given the surface area of a piece of paper as 552 cm² and need to convert this area into mm².
2. Recall the conversion factor: 10 mm = 1 cm.
Volume Conversion
1. **State the problem:** Convert a volume of 14 cubic yards ($14 \text{ yd}^3$) to cubic meters ($\text{m}^3$) using the fact that 1 yard is approximately 0.9144 meters.
2. **Reca