Volume
Surface Area
Circles
Polygons
Potpourri
100
Volume is...
The amount of space in a 3-D object
100
What is the surface area of a cylinder with a diameter of 4 in and a height of 3 in?
37.7in2
100
Calculate the arc length and the area of the sector subtended by the central angle of 150o in a circle having a radius of 2 yards. Round off the calculated measurements to the nearest tenth.
Arc Length = 5.3 yd
Area of the sector = 5.3 yd2
100
Find the area of the regular hexagon illustrated below. Round your answer to the nearest tenths if necessary.
2340 m2
100
Identify the shape of the base of the figure
Triangle
200
The volume of a traffic cone of height 20 cm and base radius of 10 cm can be calculated using which formula?
200
What is the surface area of a square pyramid measuring 5 cm along each edge of the base with a height of 7 cm?
58.33 cm3
200
The diagram shows a sector of a circle, centre O. The radius of the circle is 6 cm. Angle AOB = 120°.
Work out the perimeter of the sector.
Give your answer in terms of pi in its simplest form.
12+4pi
200
Find the area of each regular polygon. Answer in simplified radical form.
16sqrt3
200
What is the area of the figure?
205 ft2
300
Which of the following is the formula for the volume of a book with the dimensions l, b, and h?
l x b x h
300
Which formula can be used to find the lateral surface area of the given shape?
SA=Ph
300
The length of arc EF is 5pi inches. Find the length of the radius.
radius = 30 inches
300
The US Pentagon is a regular pentagon whose outer walls are each 921 feet in length.
Find the area, to the nearest square foot, covered by this enormous building, including the center courtyard.
1,459,379 sq. feet
300
Find the missing sides and angles.
Angle D = 48o
DF = 10.8ED = 16.1
400
What is the volume of this shape:
42 cubic yards
400
What is the surface area of this shape:
592.2cm2
400
An isosceles triangle divides the semicircle above into four regions: A, B, C, and D. The semicircle has a diameter of 7 inches. What is the sum of the areas of A and B? Round your answer to the nearest tenth.
7
400
The perimeter of a regular hexagon is 72 centimeters. To the nearest square centimeter, what is its area?
~374 cm2
400
How long is AC?
18
500
40
500
What is the lateral surface area of this shape:
564.4in2
500
The diagram shows an equilateral triangle ABC with sides of length 6 cm. P is the midpoint of AB. Q is the midpoint of AC. APQ is a sector of a circle, center A.
Calculate the area of the shaded region. Round to the nearest hundredth.
10.88 cm2
500
The minimum size of a stop sign is a regular octagon measuring 30 inches across. Find the area of this stop sign to the nearest tenth of a square inch.
745.6 sq inches
500
From the top of a vertical cliff 40 m high, a man sees an object far away on the ground, level to the base of the cliff. The angle of depression to the object is 34º. How far is the object from the base of the cliff?
59.3m