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 prism, which is given by:

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

We are given the following values:
- Length (\( l \)) = 2 cm
- Width (\( w \)) = 10 cm
- Volume (\( V \)) = 75 cm³

We need to find the height (\( h \)). Rearranging the volume formula to solve for height, we have:

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

Substituting in the known values:

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

Calculating the denominator:

\[
2 \times 10 = 20
\]

Now we can find \( h \):

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

Thus, the height of the right rectangular prism is:

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