Using the formula V=B×h , what is the volume of a rectangular prism with a length of 714 m, a width of 1012 m, and a height of 1225 m? Your answer should be a mixed number in simplest form.

Answer 1

To calculate the volume of a rectangular prism, we use the formula:
\[ V = B \times h \]

Where \( B \) is the area of the base, and \( h \) is the height.

For a rectangular base, the area \( B \) is given by the product of its length \( l \) and width \( w \):
\[ B = l \times w \]

Given:
- Length \( l = 714 \) meters
- Width \( w = 1012 \) meters
- Height \( h = 1225 \) meters

First, we calculate the area of the base:
\[ B = 714 \times 1012 \]

Let's perform the multiplication:
\[ 714 \times 1012 = 714 \times (1000 + 12) = 714 \times 1000 + 714 \times 12 \]
\[ = 714000 + 8568 = 722568 \]

So, the area of the base \( B \) is 722568 square meters.

Next, we calculate the volume using the height:
\[ V = 722568 \times 1225 \]

Now, perform the multiplication:
\[ 722568 \times 1225 = 885141300 \]

Therefore, the volume of the rectangular prism is:
\[ V = 885141300 \] cubic meters.

Since the problem asks for the volume as a mixed number in simplest form and the volume is a large whole number without any fractional part, it remains \( 885141300 \). Thus, we do not need to convert it into a mixed number, as there is no fractional part to separate.

The volume of the rectangular prism is:
\[ 885141300 \] cubic meters.