Volume With Formulas
What type of units is volume always measured in?
Cubic units.
Describe surface area in your own words.
The outside of a solid shape.
If you are scaling volume, what do you do to the scale factor?
You cube it, or take it to the third power.
Zaxxon was a video game created in 1981 by Sega. It was famous for being the first game with what type of perspective?
Isometric
A rectangular box measures 3 feet by 4 feet by 7 feet. What is its volume?
84 cubic feet
What type of units is surface area always measured in?
Square units.
If you are scaling area, what do you do to the scale factor?
You square it.
This object is an example of a truncated icosahedron.
A soccerball
A can of soup measures 5 inches high and has a 2 inch radius. What is the volume of the can?
62.8 cubic inches
A cube-shaped pillow has edge lengths of 5 inches. How much fabric is needed to cover the pillow?
125 cubic inches
A hot air balloon is about 100 times the size of a regular party balloon. If the party balloon has 5 cubic meters of air, how much air is in the hot air balloon?
This mountain has an approximate volume of 347 trillion cubic feet.
Mount Everest
A pyramid has a square base with sides that are 4 miles long. It is 2 miles high.
What is the volume of the pyramid?
10.7 cubic miles
Imagine you are wrapping a present. What would represent the surface area of the box?
The wrapping paper
It takes 10 gallons of paint to cover one wall. If another wall is half the size, how many gallons of paint is needed to cover the smaller wall?
.52 * 10 = 2.5 gallons of paint
This number is the only number that is both even and prime.
2
A cylindrical fish tank is 6 feet high. It can hold 18 gallons of water.
What is the area of its base?
3 square feet
Which has more surface area: a cube with edge length 10 mm or a sphere with a diameter of 10 mm?
The sphere.
What is the scale factor between them?
108 / 12=9
square root of 9 = 3.
scale factor is 3.
Tetraphobia is a fear of this. (HINT: consider a tetrahedron)