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Word Problems
Word Problems
Volume 1
Volume 2
Volume 3
Trig Word Problems
100
Find the volume of a sculpture in the shape of a pyramid that is 15 meters high and whose square base measures 7 m by 7m
What is 245 meters cubed
100
A large box of cereal is 3in wide, 14in. high, and 8in. long. The cereal inside fills 3/4 of the box. How many cubic inches of cereal are in the box?
What is 252 inches cubed
100
a sphere with radius 12 yd
What is 7234.6 yards cubed
100
a cube with a side of .6cm (Round to the nearest thousandth)
What is .216 centimeters
100
Rectangular solid with width=12mm, length=30mm, height=1.5mm
What is 540mm cubed
100

An airplane approaches an airport.  At a certain time, it is 939 m high and its angle of elevation from the airport is 19.5o.  How far is the plane from the airport?

2, 813.00 m

200
A chemical has polluted a volume of ground in a cone shape. THe depth of the cone is 30 yards. The radius of the cone is 17yards. Find the volume of polluted ground.
What is 9074.6 yards cubed
200
A softball has a diameter of about 3.8in. Most golf balls are about 1.7in in diameter. What is the difference in volume between the softball and the golf ball? (Round to the nearest tenth)
What is 26.1in
200
a pyramid with a base of 24 feet squared and a height of 55 feet
What is 440 feet cubed
200
a cone with a radius of 3 yd and a height of 7 yd (Round to nearest hundredth)
What is 65.94 yards cubed
200
a cylinder with radius 3m and height 8 m
What is 226.1 meters cubed
200

A firetruck has an arial ladder that extends 30.5m from the ground. The angle of elevation is 77o. To the nearest denth of a meter, how far up the building does the ladder reach?

29.72 m 

300
U-Haul advertises a moving truck with a storage area measuring 20.8 ft. by 7.5ft by 8.1 ft. Find the volume of the storage area
What is 1263.6 feet cubed
300
Jupiter has a radius of approximately 45,000 miles. Earth has a radius of approximately 3950 miles. Assuming both planets are spheres, what is the difference in volume between Earth and Jupiter?
What is 381,251,976,256,667 miles cubed
300
a cube with side .8 cm (Round to nearest thousandth)
What is 0.512 cm cubed
300
a rectangular solid with width=14mm, length=20mm, and height=2.5mm
What is 700mm
300
a cylinder with diameter 22m and height 17m
What is 6,459.0 meters cubed
300

Andres Johnson skis off a 312 foot high ski ramp. If johnson skis across the ramp for 500 ft before launching into the air, what is the ramp's angle of elevation?

38.61 Degrees

400
Find the volume of a soccer ball with a radius of 4.5 inches
What is 381.5 inches cubed
400
The nose of a passenger jet is used to receive and send radar. It is made of a special aluminum alloy that cost $4.00 per cm cubed. The cone has a radius of 5 cm and a height of 9 cm. What is the cost of aluminum needed to make this SOLID nose cone?
What is $942
400
a cone with a radius of 6yd and a height of 4yd (Round to the nearest hundredth)
What is 150.72 yards cubed
400
a cylinder with radius 2m and height 7m
What is 87.9 meteres cubed
400
a sphere with radius 9 yd
What is 3052.1 yards cubed
400

A rope that supports a tent is 2.4m long.  The rope is attached to the tent at a point that is 2.1 m above the ground.  What is the angle of elevation of the rope to the nearest degree?  

61.04 degree

500
The Old Smith Root Beer can was 13.5 cm high. The new can is 1.4cm shorter. The new can has a diameter of 6.6cm. What is the volume of the new can?
What is 413.8 cm cubed
500
Virginia is installing a new circular in-ground swimming pool. The pool will measure 9 feet deep and 20 feet in diameter. How many cubic feet of earth will need to be removed for the pool to be installed?
What is 2826 feet cubed
500
Pyramid height 6m, length of base 7m, and width of base 5m
What is 70 meters cubed
500
a cylinder with a diameter 30 m and height 9 m
What is 6358.5 meters cubed
500
a pyramid with a base of 18 feet squared and a height of 35 feet
What is 210 feet cubed
500

Travis Ganong is waiting at the top of the 1,000 foot high ski hill.  He looks down to the bottom of the hill at a 53o angle.  How many feet will he travel before reaching the bottom of the hill?

1,252.14 ft