Question

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

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

Let:
- Volume = 3.5 in³
- Length × Width = 2.8 in²
- Height = h

We can substitute the values into the volume formula:

\[
3.5 = 2.8 \times h
\]

To solve for \( h \), we divide both sides by 2.8:

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

Now, perform the division:

\[
h \approx 1.25 \text{ in.}
\]

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