One cubic foot holds 7.48 gallons of water and one gallon of water weighs 8.33 pounds. How much does a cubic foot of water weigh in pounds? in ounces (avoirdupois)?

Respuesta :

Answer: Weight of water in 1 cubic foot water (in pounds)[tex]=62.3084\text{ pounds}[/tex]

Weight of water in 1 cubic foot water (in ounces)=[tex]996.9344\text{ ounces}[/tex]

Step-by-step explanation:

Given: One cubic foot holds 7.48 gallons of water.

One gallon of water weighs 8.33 pounds.

To find the weight of water in 1 cubic foot water in pounds we apply Unitary method.

Weight of water in 1 cubic foot water (in pounds) [tex]=7.48\times8.33[/tex]

⇒Weight of water in 1 cubic foot water (in pounds)[tex]=62.3084\text{ pounds}[/tex]

Since , 1 pound = 16 ounces .

Weight of water in 1 cubic foot water (in ounces)=[tex]62.3084\times16=996.9344\text{ ounces}[/tex]

A cubic foot of water weighs 386.31 pounds.

A cubic foot of water weighs 6180.99 ounces.

Given

One cubic foothold's 7.48 gallons of water and one gallon of water weighs 8.33 pounds.

What is the relation between mass and density?

The relation between mass and density is given by;

[tex]\rm Mass=Volume \times Density[/tex]

To find the water mass you need to multiply the volume with density, but you need to convert it so they have the same unit.

Therefore,

A cubic foot of water weighs in pounds is;

[tex]\rm Mass=Volume \times Density\\\\Mass = \text{6.2 cubic ft }\times \text{7.48 gallon/cubic ft} \times\text{ 8.33 pound/gallon}\\\\Mass= 386.31208 \ pounds[/tex]

Weight of water in 1 cubic foot water (in ounces);

[tex]\rm1\ pound = 16 \ ounces \\\\=386.31\times 16=6180.99328\ ounces[/tex]

Hence, a cubic foot of water weighs 386.31 pounds.

To know more about Mass density click the link given below.

https://brainly.com/question/5532600