Trigonometry Answers

A tank in the shape of an inverted pyramid has a square base of 4 m on a side and an altitude of 6 m. How many liters of water will it hold when full?
FINAL ANSWER: _______________________________________

a ship leaves the port at 1am travelling north at the speed of 10 miles per hour At 4pm the ship adjusts its course 30 degrees westward. How far is the ship from the port at 5pm

3cos(x-30)=cos0

A cylindrical container of height equal to twice the diameter of its base can hold 12 liters (1L= 1,000 cm3) of water. Another cylindrical container with the same capacity has its height equal to three times the diameter of its base.

______________________ What is the diameter of the first container in cm?

_______________________ What is the diameter of the second container in cm?

The lateral edge of a square prism is 30 cm long and it is inclined at an angle of 70 degrees with the base. If the volume of the prism is 1,500 cm3,

____________________ 2) What is the base edge in cm?

____________________ 3) What is the lateral area of the prism in cm2?

_____________________ 4) What is the total area of the square prism in cm2?

The base of the right prism is an equilateral triangle. The area of the base is 1,560 cm2. If the altitude of the prism is 5 meters,

____________________What is the base edge of the prism in cm?


____________________What is the lateral area of the prism in m2?


_____________________What is the volume of the prism in m3?

(NOS. 9-10) PROBLEM 3. A silo has the form of a right circular cylinder 20m in diameter and 45m
high. The lateral surface of the silo is to be painted with two coats of elastomeric paint.

______________________ 9) What is the lateral surface area of the silo in m2?

______________________ 10) If the contract calls for two coats of paint and if it is estimated that
one gallon of paint can cover 30 square meters of surface in one coating, how many gallons of paint needed to cover the lateral surface area of the silo?

(NOS. 6-8) PROBLEM 2. Twelve concrete cylindrical columns of a building are to be covered by aluminium cladding. Each pillar has a diameter of 70 cm and height of 7m.

_______________________ 6) How much concrete is needed to construct the concrete 12 columns in m3?


______________________ 7) What is the total lateral surface area of the 12 columns in m2?



______________________ 8) If one sheet of aluminum cladding is 1.2m by 2.4m, how many
sheets of aluminum is needed to cover the 12 columns?

(NOS. 2-5) PROBLEM 1. A cylindrical container of height equal to twice the diameter of its base can hold 12 liters (1L= 1,000 cm3) of water. Another cylindrical container with the same capacity has its height equal to three times the diameter of its base.



_______________________ 4) Determine the amount of aluminum required for making the first
container in cm2?


_____________________ 5) Determine the amount of aluminum required for making the
second container in cm2?