A type of rope weighs 4 ounces per inch.

What does it weigh in pounds per foot?

0.25 pounds per foot
64 pounds per foot
3 pounds per foot
0.02 pounds per foot

1 answer

To convert the weight of the rope from ounces per inch to pounds per foot, we first need to establish the relationship between ounces, pounds, inches, and feet.

  1. There are 16 ounces in a pound.
  2. There are 12 inches in a foot.

Now we can convert the weight of the rope from ounces per inch to pounds per foot.

Given:

  • The rope weighs 4 ounces per inch.

We can calculate how many ounces there are in a foot:

\[ \text{Ounces per foot} = 4 \text{ ounces/inch} \times 12 \text{ inches/foot} = 48 \text{ ounces/foot} \]

Next, we convert ounces to pounds:

\[ \text{Pounds per foot} = \frac{48 \text{ ounces/foot}}{16 \text{ ounces/pound}} = 3 \text{ pounds/foot} \]

Thus, the weight of the rope is 3 pounds per foot.