Question

Suppose a spider was able to create one thread that would extend from the top-right back corner of its tank to the bottom-left front corner. Approximately how long would that thread need to be for the tank below? 35in,16in,12in

Answer 1

To determine the length of the thread that extends from the top-right back corner to the bottom-left front corner of the tank, we can use the Pythagorean theorem. We require the measurements of the tank's dimensions to calculate the diagonal distance.

Assuming the tank's dimensions are:
- Length (L) = 35 inches
- Width (W) = 16 inches
- Height (H) = 12 inches

The formula for the diagonal \(D\) is:

\[
D = \sqrt{L^2 + W^2 + H^2}
\]

Substituting the values:

\[
D = \sqrt{35^2 + 16^2 + 12^2}
\]
\[
D = \sqrt{1225 + 256 + 144}
\]
\[
D = \sqrt{1625}
\]

Calculating \( \sqrt{1625} \):

\[
D \approx 40.31 \text{ inches}
\]

Thus, the approximate length of the thread needed would be around **40.31 inches**.