The relationship between surface area and volume for a cube.

Is it possible for the volume and surface area of a cube to be equal? Explain.

Solving ratios and proportions.

Solve the following ratios: x/4=3/2 3/a=1/6

Geometric proof

Prove that the midpoint of the hypotenuse of a right triangle is equidistant from the three vertices.

Constructing a right angled triangle.

Construct a right angled triangle such that the altitude to the hypotenuse and the median to the hypotenuse have lengths r and s respectively.

Calculating volume given specific dimensions.

How much earth would be needed to fill a hole 25 ft long 6ft wide and 2ft deep?