A rectangular prism has a base that is 10 inches wide and 1 foot long, and is 2.5 inches deep. Find the volume of the prism.(1 point)

The rectangular prism has a volume of
in.3
.

1 answer

To find the volume of a rectangular prism, you can use the formula:

\[ \text{Volume} = \text{Length} \times \text{Width} \times \text{Height} \]

Before we calculate, let's make sure all dimensions are in the same unit. The dimensions provided are:

  • Width = 10 inches
  • Length = 1 foot = 12 inches (since 1 foot = 12 inches)
  • Depth (Height) = 2.5 inches

Now, we can plug these values into the volume formula:

\[ \text{Volume} = 12 \text{ in} \times 10 \text{ in} \times 2.5 \text{ in} \]

Calculating this:

\[ \text{Volume} = 12 \times 10 = 120 \text{ in}^2 \]

Now, multiply that by the height (depth):

\[ \text{Volume} = 120 \text{ in}^2 \times 2.5 \text{ in} = 300 \text{ in}^3 \]

Thus, the volume of the prism is

\[ \boxed{300} \text{ in}^3. \]