What is the total volume in cubic feet created by a rectangular prism that is 150 ft long and 200 ft wide with a height of 3 inches?

To find the total volume of the rectangular prism, we need to use the formula for the volume of a rectangular prism, which is length multiplied by width multiplied by height.

The given dimensions are:

• Length: 150 feet

• Width: 200 feet
• Height: 3 inches

Since the height is provided in inches, it should be converted to feet to match the other dimensions, as there are 12 inches in a foot. Therefore:

Height in feet = ( \frac{3 \text{ inches}}{12 \text{ inches/foot}} = 0.25 \text{ feet} )

Now, we can calculate the volume:

Volume = Length × Width × Height
Volume = ( 150 \text{ ft} \times 200 \text{ ft} \times 0.25 \text{ ft} )

Calculating this step-by-step:

1. Multiply the length and width: ( 150 \times 200 = 30,000 \text{ ft}² )

2. Now multiply that result by the height: ( 30,000 \text{ ft}² \times 0.25 \text{ ft} = 7,500 \