a beach is 7.3 miles wide and 30 miles long. If one inch of rain falls on this beach, how many cubic feet of rain fell in this area?

Respuesta :

Answer:

508,780,800 cubic feet.

Step-by-step explanation:

This is equivalent to the volume of a huge prism.

V = 7.3 miles * 30 miles * 1 inch

Convert to feet ( there are 5280 feet in a mile), and 1 inch = 1/12 of a foot:

Number of cubic feet which fell

= 7.3 * 5280 * 30 * 5280 * 1/12

= 508,780,800 cubic feet.

The volume of the rain in cubic feet that fell in the area is 508.7808 × 10⁶ cubic feet

The procedure of arriving at the above volume of rain is as follows:

Known:

The dimensions of the beach and the amount of rain are;

The width of the beach = 7.3 miles

The length of the beach = 30 miles

The height of the the water from the rain that falls on the beach, h = 1 inch

The required parameter:

The volume of rain water that fell in the beach area in cubic feet

The method to be applied:

Convert the given dimensional units to units of feet, then calculate the volume of rain water in the beach area, using the volume of a rectangular prism formula as follows:

1 mile = 5280 feet

1 inch = (1/12) feet

∴ The 7.3 miles width of the beach, w = 7.3 × 5,280 feet = 38,544 feet

The 30 mile length of the beach, l =  30 × 5,280 feet = 158,400 feet

The height of one inch of rain, h = (1/12) feet of rain

The volume of the rain that fell in the rectangular area, V = w × l × h

Therefore;

V = 38,544 ft. × 158,400 ft. × (1/12) ft. = 508,780,800 ft.³

V = 508.7808 × 10⁶ ft.³

The volume of the rain in cubic feet that fell in the rectangular area, V = 508.7808 × 10⁶ ft.³ (cubic feet)

Learn more about unit conversion here

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