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?

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?

• A. 5,000 ft³
• B. 7,500 ft³
• C. 10,000 ft³
• D. 12,000 ft³

Answer: (B)

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 \

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 \