Question

The density of a certain material is such that it weighs 32 grams for every 5 cups of volume. Express this density in pounds per liter. Round your answer to the nearest hundredth.

Answer 1

To convert the density of a material from grams per cup to pounds per liter, convert grams to pounds and cups to liters using the appropriate conversion factors. Divide the weight in pounds by the volume in liters and round to the nearest hundredth to get the density of approximately 0.06 pounds per liter.

Step-by-step explanation:

The student is asking to convert the density of a material from grams per cups to pounds per liter. Given that the material weighs 32 grams for every 5 cups, we need to find the density in pounds per liter. To do this, we need to use the following conversion factors: 1 cup is approximately 0.24 liters, 1 gram is 0.00220462 pounds.

First, we convert grams to pounds:

1. 32 grams × 0.00220462 pounds/gram = 0.07054784 pounds

Next, we convert cups to liters:

1. 5 cups × 0.24 liters/cup = 1.2 liters

Now, divide the weight in pounds by the volume in liters to find the density:

1. 0.07054784 pounds / 1.2 liters = 0.05878987 pounds/liter

Rounded to the nearest hundredth, the density is approximately 0.06 pounds per liter.