Six Seven
Seven Eight
Eight Nine
Nine Ten
100
Find the lateral surface area of the cylinder. Show all of your steps and work. Round to the nearest tenth.
100.5
2(pi)(2)(8)
100
A cheese ball shaped like a sphere has a diameter of 8.4 centimeters. What is the volume of the cheese ball in cubic centimeters?
310.3
4/3(pi)(4.2^3)
100
The radius of the cone is 4 inches. What is the volume of the cone? Round to the nearest tenth.
125.7
1/3pi*4^2*7.5
100
Find the volume of the cylinder. Round to the nearest tenth.
pi*1^2*16
50.3
200
The diameter of the cylinder is 10.2. The height is 5.6. What is the total surface area of the cylinder?
2*pi*5.1*5.6 + 2*pi*5.1^2
342.9
200
Find the total surface area of the rectangular prism. Show all of your steps.
334
Ph + 2B (36 x 5 + 2 x 77)
P = 11 + 7 + 11 + 7 = 36
h = 5
B = L x W = 11 x 7 = 77
200
The sponge shown below has a base with dimensions of 4.4 inches by 2 inches. What is the total surface area of the sponge? Round to the nearest tenth.
12.8*1.1+2*8.8
31.7
200
A cylindrical shipping container has a diameter of 20 feet and a height of 8.1 feet.
Write an equation that can be used to find V, the volume of the shipping container in cubic feet.
a) V=pi(20^2)(8.1)
b) V=pi(8.1^2)(20)
c) V=pi(10^2)*(8.1)
d) V=pi(8.1^2)(10)
C
300
Find the lateral surface area of the triangular prism. Show all of your steps.
P x h
P = 22 (6 + 8 + 8)
h = 13
22 x 13 = 286
300
A cone has a radius of 16 centimeters and height of 27 centimeters. What is the volume of the cone in cubic centimeters?
a) 2304 pi
b) 6912 pi
c) 144 pi
d) 3888 pi
a) 1/3 pi 16^2 27
300
A lipstick container is shaped like a triangular prism. The base of the container is shown above. The height of the lipstick is 10 centimeters. What is the lateral surface area of the lipstick?
P x h (24 x 10) = 240
P = 8 + 8 + 8 = 24
h = 10
300
The base of a triangular prism is shown above. What is the lateral surface area of the prism, if the height of the prism is 4?
110.4
P x h (27.6 x 4)
P = 9.2 + 9.2 + 9.2
h = 4
400
A new laptop comes in a box shaped like a rectangular prism. The base of the box is 2 feet by 2.5 feet. The total surface area of the box is 15 square feet. What is the height of the box? (set up an equation & use nSolve) Round to the nearest tenth.
SA = Ph + 2B , nSolve(15 = 9xh + 2x5, h)
P = 2 + 2.5 + 2 + 2.5 = 9
h = approximately 0.6 or 0.55 is fine
B = 2 x 2.5 (L x W) = 5
400
The base of a cylinder is shown. The cylinder is 22 cm tall. Which expression can be used to find the volume of the cylinder?
a) (10)(22) because the diameter of the circular base is multiplied by the height of the cylinder to find the volume.
b) (5)(22) because the radius of the circular base is multiplied by the height of the cylinder to find its volume
c) (25pi)(22) because the area of the circular base is multiplied by the height of the cylinder to find its volume
d) (10pi)(22) because the circumference of the circular base is multiplied by the height of the cylinder to find its volume
C
400
An Amazon box was delivered to your house in a box shaped like a rectangular prism. The base of the box measures 2.5 feet by 3 feet. The total surface area of the box is 29 square feet.
What is the height of the box in feet? (set up an equation & use nSolve) Round the height to the nearest tenth.
nSolve(29=11xh + 2x7.5,h)
Ph + 2B
P = 2.5 + 3 + 2.5 + 3 = 11
h = about 1.3
B = L x W = 2.5 x 3 = 7.5
400
Complete the statements: The volume of the cylinder is about ___________ cubic inches ________ (less than/greater than) the volume of the cone.
The volume of the cylinder is about 112.1 cubic inches greater than the volume of the cone.