Question

A 4 foot steel pipe weighs 15 pounds. How much will a similar pipe weigh if it is 7 feet long?

Answer 1

The weight of a 7 feet long steel pipe, similar to the 4 foot pipe that weighs 15 pounds, would be 26.25 pounds, calculated using the proportional relationship between weight and length.

Step-by-step explanation:

The weight of a steel pipe is directly proportional to its length, assuming the pipe is of similar material and diameter. Here, a 4 foot steel pipe weighs 15 pounds. If a similar pipe is 7 feet long, we need to calculate the weight proportionally.

First, we determine the weight per foot for the original pipe: 15 pounds ÷ 4 feet = 3.75 pounds per foot.
Next, we use this rate to find the weight of the 7 feet long pipe: 3.75 pounds per foot × 7 feet.
The calculation will give us: 3.75 × 7 = 26.25 pounds.

Therefore, a 7 feet long pipe will weigh 26.25 pounds.

Answer 2

Step-by-step explanation:

Let's take the unit ratio of weight to length:

`(15 \: pounds)/(4 \: feet) = 3.75 (pound)/(feet)`

Now that we have the unit ratio, let's multiply it to the similar pipe which is 7 feet long.

`3.75 (pounds)/(feet) * 7 \: feet = 26.25 \: pounds`