Mathematical Madness

Volume

100

V=L*W*H

What is the formula to find a rectangular prism's volume?

200

V=BH means you layer the base (B) on top of each other (H) times

Why is the equation for volume V=BH?

300

V=πr²h

What is the formula to find a cylinder's volume?

400

πr² is the surface area of the original circle, and the Height (H) is the number you stack it on top of itself by

Why is the equation for volume in a cylinder πr²h?

500

≈21.7 in.³

What is the volume of a standard soda can?

Surface Area

100

SA=LW*2+HW*2+LH*2

What is the formula for finding the surface area of a rectangular prism?

200

LW*2 is the top and bottom of the rectangular prism, LH*2 is the front and back of the rectangular prism, WH*2 is the sides of the rectangular prism. 

What do the equations in the rectangular prism formula stand for?

300

SA=2πrh+2πr²

What is the formula for the surface area of a cylinder?

400

2πr² represents the combined area of both the bottom and top bases of the cylinder, since each of them has an area of πr2. 2πrh represents the lateral surface area of the cylinder.

What do the equations in the surface area of a cylinder formula stand for?

500

10.8 in.³

What is the surface area of a standard soda can?

Volume and Surface Area Situations In Real Life

100

14.4 in.³

What is the volume of a cup of measurement?

200

They are making a cabinet with multiple sections

When will someone need to measure the volume of something, then take that out of something else?

300

When they are making a water bottle, or a pipe.

When will someone measure the volume of a cylinder?

400

When they are making a door, and door frame

When will someone need to measure both SA and Volume?

500

When they are building a table or fridge.

When will someone measure the volume of a rectangle?

Similarities and Differences

100

V=BH

What is the basic volume formula for any prism?

200

You add all of the sides together

What do you do to find Surface Area of any shape or prism?

300

SA is the outside while Volume is the inside

What is the difference with Volume and SA?

400

When they are making something that isn't a parallelogram.

When does someone split a shape and measure the volume of it separately?

500

They both take up space, just on different planes

What is the most similar thing about Surface Area and Volume?

Surface area of The Ottoman and Bale Equations

100

You use the equation, V=πr²h

How do you find the Volume of the large bale?

200

You divide the area of the large bale by the area of the small bales.

How do you find the amount of small square bales that can fit inside the large bale?

300

You use the equation, πr²+2πrh

How do you find the surface area of the whole Ottoman

400

You use the equation, 2πrh

What is the Surface Area of the green part of the Ottoman

500

You divide the percentage of the green part by the whole Ottoman and multiple it by one hundred

How do you find the percentage of the green part of the Ottoman?