What is the volume of the prism?

Question

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:

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