Volume
Volume+ (Trig and Combined Shapes)
Surface Area
Density
Working Backwards (Volume and Density)
100
What is the difference between a prism and pyramid?
Prism- same shape all the way through/ flat top and bottom
Pyramid- Shape gets smaller as it comes to 1 singular point
100
What do we do to find volume if we have 2 shapes put together?
Find 2 volumes separately, then add them together
100
If 3 boxes have the same volume, how can you tell which will have the biggest surface area?
The flatter it is, the bigger the surface area will be
100
If the density of water is 1, how do you know if an item floats or sinks?
If the density is greater than 1 it's more dense so it sinks
If the density is less than 1 it's less dense so it floats
100
What are the steps when working backwards to find a specific measure?
EX. find height given radius and volume
Step 1: Choose your formula
Step 2: Plug in what you know
Step 3: Solve for what you need (With volume formulas- this is by dividing everything you don't need over to the other side, With density- like solving rules from trig unit)
200
What is the volume of the cylinder?
pi*8^2*7=1407.43
200
Find the volume to the nearest tenth.
Note: The top "hemisphere" is half of a sphere
2881.9 ft3
200
Which figure has the largest surface area?
Figure A
200
A box with a volume of 200 cm3 holds 432 g of sodium chloride. What is the density?
2.16 g/cm3
200
If a box has Density = 1.8 g/ml and Volume = 39.7 ml, what is its mass?
Mass = 71.5 g
300
What is the volume of the triangular prism?
1/2(3*4)*3=18
300
Find the volume to the nearest tenth.
Note: The bottom "hemisphere" is half of a sphere
315,371.9 cubic feet
300
Which figure has the smallest surface area?
Figure C
300
A block of iron has the dimensions of 2 cm x 3 cm x 2 cm. If the mass is 94 grams, what is the density?
7.83 g/cm3
300
If an object has Density= 3.6 g/ml and Mass= 17.8 g, what is its volume?
Volume=4.9 ml
400
What is the volume of the sphere?
4/3*pi*8^3=2144.66
400
What is the Volume of this Pyramid?
V= 2,0483
400
Find the surface area:
684 square inches
400
A block of wood has a mass of 180 grams. It is 10 cm long, 6 cm wide, and 4 cm thick. What is the density?
And if the density of water is 1- will it sink or float?
0.75 g/cm3
So, as 0.75<1 it will float
400
Find the height of a cone with a diameter of 8 feet and a volume of 100.48 cubic feet.
The height of the cone is 6 feet.
500
Find the volume of a rectangular pyramid with length 5 feet, width 6 feet, and height 7 feet.
70 cubic feet.
500
What is the volume of the cylinder?
h=8
r=8*sqrt(3)=13.8564
V=1/3pi*13.8564^2*8=1608.49
500
What is the surface area of the sphere?
SA=4pir^2=4pi8^2=256pi " or "804.248
500
A cylinder has a radius of 5 and a height of 2. It has a mass of 250 grams. What is the density?
And if the density of water is 1- will it sink or float?
Density is 1.5915
so as 1.5915>1 it will sink
500
Find the height of the triangular pyramid if the base of the triangle is 5 feet, the height of the triangle is 10 feet, and the volume of the pyramid is 20 cubic feet.
The height of the pyramid is 2.4 feet.