Today we are going to learn about volume 2 different ways. Volume is the number of cubic units needed to occupy a given space. Volume = length times width times height (V=lwh). When you multiply these three dimensions together, you get a measurement that is 3-D or CUBED.
1) Cut out a net (like the one shown to the right) that is 1 inch on each side. WE ARE GOING TO CALL THIS 1 CUBIC UNIT. (V=lwh, V=1x1x1, V=1 inch cubed).
2) Tape the net up so it makes a cube BUT LEAVE THE TOP OPEN.
3) Now make another net but make each side only half an inch.
4) Find the volume of the smaller cube.
5) Place the smaller cube inside the big one. How many small cubes will fit inside? Why is this? (Feel free to cut out more cubes of the smaller size if you need to).
Bring at least your big cube and 1 small cube to class with you to show you did this portion.
1) Now lets try something new. Look at the prism to the right. How big is the BASE of this prism? (In other words, what is the area of the rectangle on the bottom of the prism?)
2) What is the height of the prism?
3) Is there another formula you could use besides V=lwh to find the volume of a prism? If so, what is it? Explain your reasoning.
4) Find the volume of the prism.
Go Math Pg 435 #1-4
Go Math Pg 439 #1-9
Practice book P213
Practice book P215