Question

Wut is da height of a right rectangular prism with a length of 2cm a width of 10 cm and a volume of 75 cm3? write ur answer in decimal form. express ur answer as a decmial rounded 2 da nearest hundredth

Answer 1

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

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

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

You can rearrange the formula to solve for height (\(H\)):

\[
H = \frac{V}{L \times W}
\]

Substituting the known values:

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

Calculating the denominator:

\[
2 \times 10 = 20
\]

Now, substitute that back into the equation for height:

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

Thus, the height of the right rectangular prism is:

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

This is already in decimal form and rounded to the nearest hundredth.