Stability+Homework

** Exercise STAB1 **

 * 1) Calculate the area of a square whose sides are 11 cm long.
 * 2) Calculate the length of the sides of a square with an area of 43 m2.
 * 3) Calculate the area of a rectangle which has sides of 2.6 cm and 11.5 cm.
 * 4) Calculate the water plane area of a boxed-shape vessel which has a length of 172 m and breadth of 27 m.
 * 5) Calculate the area of a triangle having a base of 8.8 cm and height of 6.2 cm.
 * 6) Calculate the length of the base of a triangle having a height of 8 m and area of 16 m2.
 * 7) Calculate the area of a circle having a radius of 2.62 m.
 * 8) Calculate the diameter of a circle having an area of 100 m2.
 * 9)  Calculate the area of a parallelogram having a height of 50 cm and base of 10 m.
 * 10)  Calculate the area of a trapezoid having a height of 8m and 2 parallel sides having a length of 4.5 m and 150 cm.
 * 11) Calculate the volume of a cube whose sides are 12 m long.
 * 12) Calculate the weight of the cube in the previous question if it is solid and made of material weighing 1.025 tonnes for every 1 m3.
 * 13) Calculate the volume of a rectangular box having a length of 5 m, breadth of 2 m and height of 70 cm.
 * 14) Calculate the surface area of a rectangular box having a height of 2 m and volume of 120 m3.
 * 15) Calculate the volume of a cylinder that is under water if it has a radius of 2 m, height of 9 m and floating vertical with a draft of 6 m.
 * 16) Calculate the volume of a sphere having radius of 2.1 cm.
 * 17) Calculate the volume of a prismatic-shaped vessel having ends with an area of 35 m2 and a length of 50 m.
 * 18) Calculate the height of a cone having a diameter of 10 m and a volume of 1200 m3.
 * 19) Calculate the diameter of a cylinder having a volume of 28 m3 and a height of 6m.
 * 20) Calculate the weight of gasoline in a rectangular shaped tank with an internal length of 50 cm, breadth of 28 cm and filled to a height of 15 cm. The gasoline weighs 850 kg for every 1 m3 it occupies.
 * 21) Calculate the volume of a trapezoidal shaped object with an end (height of 2 m, 2 parallel sides with lengths of 8m and 4 m) and a length of 10 m.
 * 22) Use the trapezoidal rule to calculate the area of a water plane which has the following parallel sides (ordinates) spaced 6.0 m apart: 2.4, 3.7, 5.3, 6.6, 7.6, 8.1 and 8.2 m.
 * 23) Use the trapezoidal rule to calculate the area of a water plane which has the following parallel sides (ordinates) spaced 8.0 m apart: 0.0, 3.0, 4.7, 6.2, 7.3, 7.8, 7.3, 6.9, 5.3, 3.1 and 0.0 m.
 * 24) Use the trapezoidal rule to calculate the area under a 18.0 m curve which has the following parallel sides (ordinates) equally spaced apart: 1.3, 3.5, 4.8, 5.4, 5.6, 5.0 and 3.9 m.
 * 25) Use the trapezoidal rule to (a) calculate the area under a curve which has the following parallel sides (ordinates) spaced 5.0 m apart: 0.2, 3.6, 6.7, 8.9, 10.7, 12.0, 12.7, 12.0, 11.4, 8.8, 5.0 and 0.3 m. (b) Calculate the volume of this curve if it had a length of 50 m.

Answers will be posted after class discussion.