Question

A rectangle prism is shown

Given L = 30 in., W = 20 in., h = 18 in., and x = 36.1 in., find the length of d. Round the answer to the nearest tenth

Answer 1

To find the length \( d \) for a rectangular prism given the dimensions \( L = 30 \) in., \( W = 20 \) in., and \( h = 18 \) in., we need to understand the context in which \( d \) relates to these parameters.

Assuming \( d \) is the space diagonal of the rectangular prism (which is often calculated using the formula for the diagonal in three-dimensional space), we can use the following formula:

\[
d = \sqrt{L^2 + W^2 + h^2}
\]

Plug in the given values:

\[
d = \sqrt{30^2 + 20^2 + 18^2}
\]

Calculate each component:

\[
30^2 = 900
\]
\[
20^2 = 400
\]
\[
18^2 = 324
\]

Now, add these values together:

\[
d = \sqrt{900 + 400 + 324} = \sqrt{1624}
\]

Next, calculate the square root:

\[
d \approx 40.31
\]

Finally, round this to the nearest tenth:

\[
d \approx 40.3 \text{ in.}
\]

Thus, the length of \( d \) is approximately **40.3 inches**.