Question

What is the volume of the prism?



Enter your answer in the box as a mixed number in simplest form.


cm³

$\text{Basic}$
$x$$y$$x^2$$\sqrt{ }$$\frac{x}{ }$
$x\frac{ }{ }$
$x^{ }$$x_{ }$$\degree$$\left(\right)$$\abs{ }$$\pi$$\infty$
A rectangular prism with the width as six centimeters, the length as two and a half centimeters and the height as four and a half centimeters.

Answer 1

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

\[
\text{Volume} = \text{length} \times \text{width} \times \text{height}
\]

Given the dimensions of the prism:
- Width = 6 cm
- Length = 2.5 cm
- Height = 4.5 cm

Now we can substitute in the values:

\[
\text{Volume} = 2.5 \, \text{cm} \times 6 \, \text{cm} \times 4.5 \, \text{cm}
\]

First, we compute \( 2.5 \times 6 \):

\[
2.5 \times 6 = 15
\]

Next, we compute \( 15 \times 4.5 \):

\[
15 \times 4.5 = 67.5
\]

Now, we have the volume in cubic centimeters:

\[
\text{Volume} = 67.5 \, \text{cm}^3
\]

To express this as a mixed number in simplest form, we can break down \( 67.5 \) into a whole number and a fractional part.

The whole number is \( 67 \) and the fractional part \( 0.5 \) can be expressed as \( \frac{1}{2} \). Therefore:

\[
67.5 = 67 \frac{1}{2}
\]

Thus, the volume of the prism is:

\[
\boxed{67 \frac{1}{2}} \, \text{cm}^3
\]