Volume of any prism
SA of Polyhedrons
Cylinders
Word Problems
Mixed Bag
100
What is the volume of the image below?
1040 in^3
100
No paper no writing utensils no calculators - MENTAL MATH
1st: 300 units2
2nd: 142 cm2
100
Find the surface area of the cylinder.
Radius: 87.9mm
Height: 2mm
49651.050
100
Lexi Wildern just finished a nice glass of hot chocolate on a rainy day in her special triangular prism shaped cup. As she finished rinsing it out, she decided to put it in the dishwasher for a final load before she went to bed. As she tried putting it in the top shelf it didn’t fit, and putting it in the bottom shelf didn’t fit. Since she was the most lazy person in the world she decided to just stick it in the dishwasher and see what happens. But when she woke up the next morning she found her favorite cup broken. If she could rewind time, and found the surface area of the cup to see if it would have fit into the dishwasher, what would it have been? (Hint: Use pythagorean theorem.)
H = 5 cm
W = 3 cm
L = 3 cm
85.32 cm^2
100
There is a cube with a cylinder inside of it. A side of the cube is 15 feet and the radius 4 feet. What is the volume of this shape if the cylinder was taken out of the cube? Round to the nearest 100th if needed
2621.02 feet ^3
(if units are forgotten answer is incorrect)
200
If the volume is 1092 ft^3
Find “x”
x = 7cm
200
Find the surface area
105 cm2
200
Find the volume and surface area of the cylinder.
Radius: 241
Height: 0.0533
V=9725.483, SA=365014.396
200
Samantha and Bob (her lover) thoroughly enjoy Fruity Pebbles. One day they finish a jumbo box with a height of 23in, they go to the garage to throw it away, their recycling is full and since the width is 5.7, they can’t stick it in. So they decide to unfold the box completely so there is a length of 12, and measure to see if it would be able to make it in. What do they do?
951in^2
200
This is a 3d dodecahedron it is made up of 12 equal pentagons. A pentagon is made up of 5 equal triangles where the height is 24 millimetres and the longest side(hypotenuse) is 25 millimeters. What is the surface area of the whole dodecahedron?
2,016 millimetres
300
What is this object’s volume?
87.64380551 cm^3
300
Find the S.A.
314.5 square units
300
One pizza: (Radius: 7.126in)(Height:0.399)
There is a stack of pizza and the volume is 123,456,789in^3. How many pizzas are in the stack? Round to the nearest whole.
1939559
300
Amy and Sarah need to buy oatmeal because they both really love it. Amy sees a bigger container, each for $16.50, and immediately goes for it. She buys two. Sarah, seeing smaller containers, each for $7.75 buys 4. Who made the better choice? Which person, without going to the store, will have oatmeal longer if they both eat at the same rate? Show your work for the points. Hint: You may or may not need the money.
Big one
Radius= 1.5in
Height = 12in
Small one
Radius = 1.5in
Height = 8in
Answer - Sarah
Amy Volume - 169.64
Sarah Volume - 169.65
300
You are painting your newly bought model house and you want to know how much it will cost. The first floor is cube-shaped, the second floor is a trapezoidal prism and the third floor is a pyramid. Find the total surface area. If paint cost $0.25 per square inch how much will it cost? Round to the nearest 100th.
$225
400
What is the volume?
560 cm^3
400
Find the S.A.
7600 mm2
400
Your name is john. You run a company called Qwertyuiop. Qwertyuiop is a bad company that makes pagers but nobody wants pagers now. If you don’t know what a pager is it is a wireless telecommunications device that receives and displays alphanumeric messages and/or receives and announces voice messages. One-way pagers can only receive messages, while response pagers and two-way pagers can also acknowledge, reply to, and originate messages using an internal transmitter. Every year you make about 2 dollars. You live on the street. One day you decide to start a soda company. The soda company’s name is mountain dew...ert. The soda can is ((5/2) X 2)X 4 feet tall. The radius of the base is (6(799))/222 feet. Every square foot costs 1 dollar. You make a lot of money now but you are not smart so you hired Jake to do some math. You said in a polite letter to Jake, “How much money do I need to pay in making the cans!”. You fire Jake. Find how much money you need to pay per can.
$2713.708 per can
400
Three construction workers are building a new mayor's office in the new square. They need to use these bricks to make the wall. They need to know how many to put in each bag if they want to be able to carry them up to the top. Each man can carry a volume of 784cm. You can use a calculator for the final step. Round to the nearest whole number. (The division part)
Answer - 3
Cylinder = Approx. 50.27
Rectangular Prism
400
Find the volume(of the entire shape) and the hypotenuse of the largest triangle.
The legs of the right triangle are 24cm and 43cm. The smaller right triangle in the center (the one that is cut out) is 75% of the original triangle’s size. The width of both triangles is 17cm.
Volume = 2193cm^3
Hypotenuse = 67 cm
(If units are forgotten answer is incorrect)
500
What is the volume?
96 cm^3
500
Find the surface area. *If it is hard to see: the apothem is 2 cm*
250 cm2
500
With all the success from your soda company Mountain dew...ert you decide to buy a statue of black gold in the shape of your soda cans [Height: ((5/2) X 2)X 4 feet][Radius: (6(799))/222 feet]. But you want it to be 123,456,789 times bigger than one of your normal soda cans. One cubic foot of black gold is $9,999,999.99. How much will the statue cost?
$6,174,393,700,000,000,000
500
The farmer wants to buy a ring for his wife. Her needs to know that it won’t be too big to fit on her hand. Help him out and find the surface area.
H = 2 mm
L = 3 mm
Triangle L = 4 mm
102.6mm^2
500
There are 5 cylinders that all have the same height, but the radius’ are all different. Each radius decreases by 23% of the one before. Find the Surface Area of all of them combined. The radius of the bottom red one is 27 centimetres and the height is 25 centimetres. Round at the end to the nearest 100th.
Pi=3.14159
20984.67centimetres squared. (if units forgotten it is incorrect.)