Solve for in the following equation:

Simplify the expression as far as possible:  

If and , then what is the value of the following expression: 

The formula for the surface area, , of a closed box is given by: . Make the subject of the formula. 

Find the value of  

A container with a length of 40 cm, a breadth of 30 cm and a height of 10 cm contains 12 identical cans with a diameter of 10 cm and a height of 10 cm. The remaining space is filled with a thick liquid. How much liquid was required to fill the gaps of the container?

Find the area of the shaded region in the diagram below.

In the diagram below, MATH is a rectangle, GB = 4.6 cm, MH = 6 cm, and HT = 15 cm. What is the area of the shaded region? 

Determine the perimeter of the rectangle if its area is 64 m and its length is 16 m.

What is the area of the shaded region?