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
___________ cm
Answers
GPT-4o mini
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 can rearrange the formula to solve for height:
\[
\text{Height} = \frac{\text{Volume}}{\text{Length} \times \text{Width}}
\]
Substituting the values we have:
\[
\text{Height} = \frac{75 \, \text{cm}^3}{2 \, \text{cm} \times 10 \, \text{cm}} = \frac{75 \, \text{cm}^3}{20 \, \text{cm}^2}
\]
Now, calculating the height:
\[
\text{Height} = \frac{75}{20} = 3.75 \, \text{cm}
\]
So the height of the right rectangular prism is
\[
\boxed{3.75} \, \text{cm}
\]
\[
\text{Volume} = \text{Length} \times \text{Width} \times \text{Height}
\]
We are given:
- Volume = 75 cm³
- Length = 2 cm
- Width = 10 cm
We can rearrange the formula to solve for height:
\[
\text{Height} = \frac{\text{Volume}}{\text{Length} \times \text{Width}}
\]
Substituting the values we have:
\[
\text{Height} = \frac{75 \, \text{cm}^3}{2 \, \text{cm} \times 10 \, \text{cm}} = \frac{75 \, \text{cm}^3}{20 \, \text{cm}^2}
\]
Now, calculating the height:
\[
\text{Height} = \frac{75}{20} = 3.75 \, \text{cm}
\]
So the height of the right rectangular prism is
\[
\boxed{3.75} \, \text{cm}
\]