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:

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

We are given:
- Volume = 75 cm³
- Length = 2 cm
- Width = 10 cm

We need to find the height (h). Plugging the values into the volume formula, we have:

\[
75 = 2 \times 10 \times h
\]

Simplifying this gives:

\[
75 = 20h
\]

To solve for \( h \), divide both sides by 20:

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

Calculating the division:

\[
h = 3.75
\]

Thus, the height of the right rectangular prism is:

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