Surface Area
Circles
Lateral and Total Surface Area
Volume
Formulas
100
A large game cube is wrapped with shrink wrap. How many inches of shrink wrap will be used to wrap 5 game cubes?
270 in2
100
The equation for an area of a circle with a diameter of 15 units.
A = 3.14(7.52)
pi = 3.14
100
Find the lateral surface area of the box.
400in2
100
Find the volume of the cylinder to the nearest tenth.
1,943.9 in3
100
What are the formulas to find the lateral surface area and the total surface area of a cylinder?
(Lateral) S = 2(pi)rh
(Total) S = 2(pi)rh + 2(pi)r2
200
What is the lateral surface area of the triangular pyramid composed of equilateral triangles?
187.2 ft2
200
A button has a diameter of 4 centimeters. What is the area of the button?
A = 12.56cm2
200
What is the lateral surface area of the doorstop shown?
22.6in2
200
Find the volume of the cone to the nearest tenth.
45.8 in3
200
What is the formula used to find the area of a triangle?
A = 1/2bh
300
What is the total surface area of the rectangular prism?
516 m2
300
The circle in the center of a basketball court is being painted. The circle has a radius of 9 feet. What is the circumference of the circle? Leave your solution in terms of pi.
18π (18pi)
300
Find the lateral and total surface area of the prism. The height of the triangular base is 6mm.
Lateral = 313.5mm2
Total = 397.5mm2
300
Find the volume of the sphere. Round to the nearest tenth.
5,575.3 units3
300
What formula do you use to find the volume of a sphere?
V = 4/3(pi)r3
400
A square pyramid and a cube have the same surface area. The length of each side of the base of the square pyramid is 10 feet. The width of the cube is 6 feet. What is the slant height of the square pyramid?
5.8 feet
400
The area of a circle is 28.26 ft2. What is the diameter?
d = 6 ft
400
A cylindrical shipping container has the dimensions shown. Find the lateral and total surface area of the container. Round solutions to the nearest hundredth.
Lateral = 212.06in2
Total = 243.87in2
400
A cylindrical cooler is filled with juice. The container has a radius of 7 inches and a height of 18 inches. If a cubic inch contains about 0.004 gallons of juice, how many gallons of juice does the container hold? Round to the nearest tenth.
11.1 gallons
400
What is the formula to find the volume of a cylinder?
What is the formula to find the volume of a cone?
Hint: There is only one difference between the formulas.
Volume of a cylinder V=Bh
Volume of a cone V = 1/3Bh
500
A rectangular prism has a total surface area of 158in2. Use the net to determine the missing dimension, x.
x = 8 in
500
A figure skater prepares for her performance by skating 6 laps in a circular ice rink. If the distance between the skater and the center of the rink is 30 feet, how many feet did the figure skater travel to warm up?
1,130.4 ft.
500
Shannon buys a set of 50 plastic cups for an upcoming baby shower. The cups are cylindrical with a radius of 1.5 inches and a height of 5 inches. Find the total surface area of the 50 plastic cups. Assume the cups have no lid.
2,709.62 in2
500
At a wedding, guests are given cone-shaped cups filled with flower petals. The cups have a radius of 5 centimeters and a height of 10 centimeters. If there are 150 cups, what is the total volume of petals that all the cones will hold? Round to the nearest whole number.
39,270 cm3
500
What are the formulas to find the lateral and total surface area of a triangular prism?
(Lateral) Ph
(Total) Ph + 2B