Cylinders
Prisms
Cones, Pyramids, and Spheres
Missing Dimensions
Review
100
A cylindrical water bottle has a height of 12 inches and a diameter of 7 in. If you wanted to wrap the sides, not the top or bottom, with a giant spongebob sticker, how many square inches would the sticker need to be?
Use 3.14 for pi
263.76 sq in
100
Find the total surface area of the shape below.
164 sq in
100
A cone as a radius of 4 in and a height of 11 in. Find the volume.
184.21 cubic in
100
A rectangular prism has base lengths of 7 and 9. If the volume is 252, what is the height?
4
100
If a triangle has side lengths of 5, 12, and 14 is it a right triangle?
No
52+122=142
25+144=196
169=/196
200
A cylindrical fish tank that is 8 ft tall and has a radius of 15 ft is being filled with water. If it is already half full, how many cubic ft of water will you need to fill it the rest of the way?
2826 cubic ft
200
You are painting the walls of a rectangular room. The floor is 12 ft by 15 ft and the room is 10 ft tall. How many sq ft of paint will you need to cover the walls?
540 sq ft
200
You put 3 scoops of ice cream on your apple pie. Each scoop is a sphere with a radius of 1.5 inches. What is the volume of all the scoops?
14.13 x 3 = 42.39 cubic inches
200
The lateral surface area of a cylinder is 282.6 sq in. If the height is 9 in, what is the radius?
5 in
200
List all real number categories to which the number 0 belongs.
Whole
Integer
Rational
(Real)- may be assumed
300
287.5 sq cm
300
A rectangular prism is being filled with Kraft macaroni and cheese. The box has dimensions of 5 ft by 8 ft by 12 ft. How much mac and cheese will fit in the box?
480 cubic ft of mac and cheese... which is a lot of mac and cheese.
300
An ice cream cone with a diameter of 4 inches and a square pyramid with a side length of 4 inches are both 8 inches tall. If you are trying to fill the shape with as much ice cream as possible, which shape would you prefer and how much more ice cream would fit?
42.67-33.49
The pyramid. 9.17 cubic inches more
300
The volume of a cylindrical tank is 1230.88 cubic feet. If the height is 8 ft, what is the radius?
7 ft
300
What is the equation of the line?
y=2/3x+1
400
you decided to give your friend 4 rolls of toilet paper for their birthday. You wrap all of them individually. If the rolls are 6 inches in diameter and 7 inches tall, how much wrapping paper will you need in total?
188.4 x 4 = 753.6 sq in
400
Find the total Surface area of the shape.
503 sq cm
400
You cut open a perfectly spherical watermelon and eat everything inside one half of it. If the watermelon hada diameter of a foot, how many cubic inches of watermelon did you eat?
904.32/2 = 452.16 cubic inches
400
A conical radio dish has a volume of 942 cubic meters. If the height is 9 m, what is the radius of the dish?
10 m
400
Find the equation for the two points (5,12) and (3,20).
y=-4x+32
500
You are filling your cylindrical pool with koolaid. Your pool is 10 ft deep and has a diameter of 25 ft. If a pack of koolaid will convert 12 cubic feet of water to koolaid and costs $.15, how much will it cost to convert the entire pool to koolaid?
4906.25/12 = 408.85
408.85 ~ 409
409 x .15 = $61.35
500
You have a triangular prism shaped box that you have filled with nutella. If each 100 cubic cm of nutella costs 1 dollar, what is the cost of the nutella in the container?
$5.81
500
You have a pyramid shaped container to hold ice cream. It has a height of 7 inches and has a square base with a length of 4 in. if you fill it with rocky road ice cream that costs $.10 per cubic inch, how much will the ice cream cost?
$3.74
500
A rectangular prism has a perimeter of 40, an area of 96, and a total surface area of 592. Find the height of the prism.
10
500
Find the MAD:
21,18,19,26
2.5