Please help with explanation showing work
HW 14: Applications of Conversions & Rates Complete the following using the factor label method. 1. A greenhouse is 20 feet long, 15 feet wide, and 10 feet high. a. What is the volume in cubic feet? b. What is the volume in cubic meters? Round to nearest cubic meter. 2. You are ordering linoleum for an 18 ft by 15 ft kitchen, but when you get to the store the measurements are in square yards, how much should you order? Round to nearest square yard. 3. Is the following statement reasonable? The area of a dorm room is 49 m2. (The average college dorm room is about 228 square feet.) Round to nearest square foot. a. Convert the area to square feet. b. Write a meaningful sentence to answer the question "Is this statement is a reasonable?" sentence. Use numbers to justify your answer. 4. You build three raised garden boxes that are 12 feet by 6 feet and 10 inches tall. The supply store sells garden soil in cubic yards. a. How many cubic yards of soil will you need (you can disregard the thickness of the wood)? Round to two decimal places. b. If soil is priced at $5 per cubic yard, how much will it cost to fill your boxes? Round to nearest cent. 5. A round silo is 60 feet tall and has a 15 foot radius. a. Find the volume of the silo in cubic feet. (Round volume to nearest cubic foot.) b. If 32,000 fts of grain is stored in the silo, find the ratio of grain stored to the total volume. (Write the ratio as a decimal rounded ratio to two decimal places.) C. Use the calculated ratio of grained stored to the total volume in a meaningful sentence. 6. A certain drug dosage calls for 25mg per kg per day and is divided into two doses (1 every 12 hours). If a person weighs 180 pounds, how much of the drug should they get each dosage? Round to nearest milligram. 7. If a drug has a concentration of 275 mg per 10 ml, how many ml are needed to give 1000 mg of the drug? Round to two decimal places