Question

What is the height of a right rectangular prism with a length of 2 cm, a width of 10 cm, and a volume of 75 cm3
? Write your answer in decimal form. Express your answer as a decimal rounded to the nearest hundredth.(1 point)
cm

Answer 1

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

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

Given:
- Volume \( V = 75 \) cm³
- Length \( l = 2 \) cm
- Width \( w = 10 \) cm

We can rearrange the formula to solve for height \( h \):

\[
h = \frac{V}{l \times w}
\]

Substituting in the given values:

\[
h = \frac{75}{2 \times 10}
\]

Calculating the denominator:

\[
2 \times 10 = 20
\]

Now substituting that back into the equation for height:

\[
h = \frac{75}{20} = 3.75
\]

So, the height of the rectangular prism is:

\[
\boxed{3.75} \text{ cm}
\]