Conversions
Surface Area
Volume
Trigonometry
Word Problems
100
What is 5.6km in meters?
Round your answer to a whole number.
5600 m
100
True or False:
Surface Area of a composite shape requires you to total the surface area of all shapes involved.
False,
Remember you must subtract faces that are in contact with eachother, becasue they are not longer exposed to the surface.
100
True or False,
When calculating volume of a composite object you must total the volumes of all shapes involved.
True
100
Solve for the missing side length.
Round your answer to the nearest cm.
28 cm
100
If the string of a kite is 120m long, and the angle of elevation is 45°, calculate the height of the kite to the nearest metre.
85m
200
How many inches are in 5 yards?
180 in
200
Determine the surface area of a cube with a side length of 7cm.
Round to the nearest meter.
SAcube= 294 cm2
200
Determine the volume of the following Square Pyramid.
Square base side length = 2 m
Height = 5 m
Round your answer to the nearest tenth of a cubic meter.
Vsqupry=6.7 m2
200
Write Sin (A) as a ratio
Sin (A) = 35/37
200
Matt is 1.74m tall and his shadow is 1.32m long. Determine the angle of elevation to the nearest degree.
53°
300
Convert 43 in into ft and in
3ft 7 in
300
A tennis ball has a diameter of 4 in.
What is the surface area of the ball?
round your answer to the nearest square meter.
50 m2
300
What is the length of a rectangular prism that has a volume of 120 cm3, width = 3cm and height =4cm.
Round your answer to the nearest cm.
l= 10 cm
300
Use the trig ratios to find the missing angle (theta). Round to the nearest whole number:
60 degrees
300
Tanya requires 77 in of fabric to create one mask. At the store she purchases 20 yards of fabric. How many masks can she make?
Tanya can make 9 masks.
400
From Seattle, Washington to Vancouver, BC it is 142.6mi.
What will your odometer (speed dial) read after completing this drive?
Round your answer to the nearest tenth.
229.5 km
400
Determine the radius of a hemisphere with the a surface area of 250 m2
Round your answer to the nearest tenth of a meter.
r= 5.2m
400
Determine volume of a cylinder with a radius of 8 in and a height of 10 in.
Round to the nearest cubic inch.
2011 in3
400
Solve for angle A and angle C.
Round your answers to the nearest degree.
Angle A: 71 degrees
Angle C: 19 degrees
400
From a height of 50m, a ranger observes the beginnings of two fires. One fire is due west at an angle of depression of 10°. The other fire is due east at an angle of depression of 5°. What is the distance between the two fires to the nearest metre?
855 m
500
Mr. Lemko wants to buy pepperoni. At CO-OP, it costs $0.50 per 3 cm. At Sobey's, it costs $0.75 per 2 in. Which grocery store is the better deal?
Sobey's is the better deal
If both are converted to cm:
CO-OP: approximately $0.17 per cm
Sobeys: approximately $0.15 per cm
500
Determine Surface area of a cylinder with a height of 3 cm and radius of 2 cm.
Round to the nearest tenth.
SA= 62.8 cm2
500
Determine the height of a cone with a volume of 80 ft3 and a radius of 5ft.
Round your answer to the nearest foot.
3 ft
500
In the right triangle ABC, ∠B=90°, AB=5.6m, and BC=6.2m.
Find side AC, ∠A, and ∠C.
Round all your answers to the nearest tenth.
AC=8.4m
∠A=47.9°
∠C=42.1°
500
Henry is building a fence. His backyard measures 18 ft 6 in. by 8 ft. 5 in. The fencing material is sold by the foot. It costs $2.75/ft.
1) Indicate the total feet of fencing he will require to the nearest feet.
2) Indicate the total cost of materials prior to tax.
He will need 54 ft of fencing.
It will cost $148.50