# Calculus: The Length of a Side, Distance and Finding the Hypotenuse

1. The volume of a cube is given by V = s^3. Find the length of the side of a cube if the Volume is 729 cm^3.

2. Suppose you travel north for 35 kilometers then travel east 65 kilometers. How far are you from your starting point? North and east can be considered the directions of the y- and x-axis respectively. Round to the tenth place.

3. A right triangle is a triangle with one angle measuring 90 degrees. In a right triangle, the sides are related by Pythagorean Theorem, where c is the hypotenuse (the side opposite the 90 degree angle). Find the hypotenuse when the other 2 sides' measurements are 3 feet and 4 feet.

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#### Solution Summary

The solution provides detailed explanations and instructions including diagrams for the three calculus problems being asked. All calculations and variables are included.