Answer :
The density of the block of ice is approximately 7.64 pounds per gallon. Approximately 24.91 ml should be administered. 33 square meters is approximately equal to 372.07 square feet.
CYU #1:
To convert the density of a block of ice from kg/m³ to pounds/gallon, we'll use the given conversion factors:
1 kg = 2.2 lbs
1 cubic meter = 264 gallons
First, convert kg/m³ to lbs/m³ by using the conversion factor for mass:
Density in lbs/m³ = 916.7 kg/m³ × 2.2 lbs/kg = 2016.74 lbs/m³
Now, convert lbs/m³ to pounds/gallon by using the conversion factor for volume:
Density in pounds/gallon = 2016.74 lbs/m³ / 264 gallons/m³ ≈ 7.64 pounds/gallon
So, the density of the block of ice is approximately 7.64 pounds per gallon.
CYU #2:
To calculate how many ml should be administered, we'll need to follow these steps:
Step 1: Convert the patient's weight from pounds to kg.
Patient's weight in kg = 225 lbs / 2.2 kg/lb ≈ 102.27 kg
Step 2: Calculate the required dosage:
Dosage = 95 mg/kg × 102.27 kg ≈ 9713.65 mg
Step 3: Convert the dosage from mg to ml using the given concentration:
1 ml contains 390 mg, so
Dosage in ml = 9713.65 mg / 390 mg/ml ≈ 24.91 ml
Approximately 24.91 ml should be administered.
CYU #3:
To convert 33 square meters to square feet, we'll use the given conversion factors:
1 yard = 0.9 meters
1 yard = 3 feet
First, convert square meters to square yards by dividing by the square of the conversion factor (since 1 yard = 0.9 meters):
33 square meters / (0.9 meters/yard)² ≈ 41.23 square yards
Now, convert square yards to square feet using the conversion factor:
41.23 square yards × (3 feet/yard)² ≈ 372.07 square feet
So, 33 square meters is approximately equal to 372.07 square feet.
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