Sweet Tarts Ropes
Nerds Gummy Clusters
Rice Krispies
Mint Chocolate Chip Ice Cream
100
The base of a cylinder has a diameter of 36 inches. The cylinder is 25 inches tall. Which expression can be used to find the volume of the cylinder?
A) (36)(25), because the diameter of the circular base is multiplied by the height of the cylinder to find its volume
B) (324 pi ) (25), because the area of the circular base is multiplied by the height of the cylinder to find its volume.
C) (18)(25), because the radius of the circular base is multiplied by the height of the cylinder to find its volume.
D) (36 pi )(25), because the circumference of the circular base is multiplied by the height of the cylinder to find the volume.
B) (324 pi ) (25), because the area of the circular base is multiplied by the height of the cylinder to find its volume.
Hint: Did you use the FORMULA to help you figure this out? I hope so!
100
How do you calculate perimeter of a rectangle or square? Give an example of each and draw pictures.
A rectangle and square have FOUR sides. Add all 4 sides.
Ex: 8 + 10 + 8 + 10 = 36 (rectangle)
Ex: 4 + 4 + 4 + 4 = 16 (square)
100
How do you calculate area of a rectangle or square? Draw 2 pictures and give an example of each.
A = l x w (rectangle)
4 x 6 = 24
A = s x s or s2 (square)
8 x 8 = 64
100
How do you calculate perimeter of a triangle? Give an example using numbers & draw a picture.
A triangle has THREE sides. So add all 3 sides to find the perimeter (distance around the shape). Example: 8 + 8 + 8 = 24
200
A soup can is the shape of a cylinder. It has a radius of 4.5 centimeters and a height of 9.5 centimeters. What is the approximate total surface area of the soup can in square centimeters?
395.8 cm^2
200
Do these cylinders have the same lateral surface area? Calculate each.
Cylinder A: Radius = 5 & Height = 8
Cylinder B: Radius = 8 & Height = 5
Cylinder A: 251.3
Cylinder B: 251.3
Yes, they have the same lateral surface area!
200
Calculate the lateral surface area of this cylinder.
446.1
200
The diagram shows the dimensions of a container in the shape of a cylinder. What is the volume of the container? Round your answer to the nearest tenth.
502.7
300
The volume of a cylinder is 300 cubic centimeters, and the radius is 15 centimeters. Which equation can be used to find h, the height of the cylinder in centimeters?
A) h = 300/(15)^2
B) h = (15)^2/300
C) h =
(pi(15)^2)/300
D) h = 300/(pi(15)^2
HINT: Use nSolve when setting up your equation!
D
Did you convert each answer choice to a decimal? :)
300
1) What is the formula for Lateral Surface Area of a Triangular Prism?
2) The base of a triangular prism has side lengths of 8, 5, and 3 inches. The height of the triangular prism is 12 inches. What is the Lateral Surface Area of the triangular prism?
1) LSA = P x h
2) 192 inches2
300
A storage container is in the shape of a square prism. The height of the storage container is 5 inches, and the area of the square base is 64 square inches.
What is the total surface area in square inches of the storage container?
Hint: Draw a picture! The base is a square...
288
300
An ice cream cone that has a diameter of 5 inches and a height of 8 inches. Write the equation that can be used to find V, the volume of the cone. DO NOT SOLVE.
V =
V = 1/3 pi (2.5)^2 (8)
400
A storage container is in the shape of a square prism. The height of the storage container is 11 inches, and the area of the square base is 36 square inches.
What is the total surface area in square inches of the storage container?
Hint: Draw a picture! The base is a square...
336
400
A traffic cone has a diameter of 30 inches and a height of 50 inches. Write the equation that can be used to find V, the volume of the cone. DO NOT SOLVE.
V =
V =
(1/3)pi(15)^2 (50)
400
Mrs. Reiser needs a new disco ball for her classroom. She wants to purchase one that has a volume of approximately 2145 cubic inches. Which diameter measurement listed will result in a volume that is closest to what Mrs. Reiser needs?
A) 9 inches
B) 8 inches
C) 4 inches
D) 16 inches
D) 16 inches
DIAMETER is 16, so radius is 8
400
List at least 3 different things to pay attention to or remember when calculating Volume or Surface Area of 3D shapes.
1) Divide the diameter by 2 to use the radius
2) Circle the height! (the height is NOT on the base)
3) USE THE CORRECT FORMULA
4) Identify the correct shape!
5) Draw a picture
6) Write out your steps & show your work!
7) Check your work and make sure what you typed into the calculator matches what you wrote down
8) B is AREA of the base