Question

If the volume of a right rectangular prism is 3.5 in. 3
and it's length and width have a product of 2.8 in. 2
, what is the height of this rectangular prism?(2 points)
Responses

1.25 in.
1.25 in.

2 in.
2 in.

1.5 in.
1.5 in.

2.25 in.

Answer 1

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

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

You've given the volume as \(3.5 \, \text{in}^3\) and the product of the length and width as \(2.8 \, \text{in}^2\).

Let:
- \( l \) = length
- \( w \) = width
- \( h \) = height

From the information provided, we have:

\[
l \times w = 2.8 \, \text{in}^2
\]

Now, substituting the known values into the volume formula:

\[
3.5 = (l \times w) \times h
\]

Now substitute \( l \times w \) with \( 2.8 \):

\[
3.5 = 2.8 \times h
\]

To find \( h \), divide both sides by \( 2.8 \):

\[
h = \frac{3.5}{2.8}
\]

Calculating this:

\[
h = 1.25 \, \text{in}
\]

So, the height of the rectangular prism is \( \boxed{1.25 \, \text{in}} \).