Interact with the applet below for several minutes.[br]Make sure you use the "Create Net" feature and the "Options" feature and that you turn on the "Filling" feature.[br]After doing so, please answer the questions that follow.
[size=200]C[size=150]reate a rectangular prism that has a length = 4 units, width = 5 units, and height = 3 units. [/size][/size]
1a) How many square units (i.e. "squares") appear on each [b][color=#ff00ff]pink face[/color][/b]? How many total?[br]1b) How many square units (i.e. "squares") appear on each [b][color=#bf9000]gold face[/color][/b]? How many total?[br]1c) How many square units (i.e. "squares") appear on each [b]white face[/b]? How many total?
[br]1a) 12 square units on each [b][color=#ff00ff]pink face[/color][/b] (24 total)[br][br]1b) 15 square units on each [b][color=#bf9000]gold face [/color][/b](30 total) [br][br]1c) 20 square units on each [b]white face [/b](40 total)[br]
That is, how many square units, or squares, cover the ENTIRE SURFACE of this rectangular prism? [br]Hint: Slide the "Create Net" feature all the way to the right.[br]Hint: Think about how many facesthe figure has total.
[u]Question 2[br][/u][br]24 [b][color=#ff00ff]pink[/color][/b] square units + 30 [b][color=#bf9000]gold[/color][/b] square units + 40 [b]white[/b] square units = [u]94 square units[/u][br] [br]Total SURFACE AREA of the Figure = [u]94 square units[/u][br][br][br]
[size=200]N[/size][size=200][size=150]ow create a rectangular prism that has a length = 8 units, width = 3 units, and height = 5 units. [/size][/size]
3a) How many square units (i.e. "squares") appear on each [b][color=#ff00ff]pink face[/color][/b]? [br]3b) How many square units (i.e. "squares") appear on each [b][color=#bf9000]gold face[/color][/b]? [br]3c) How many square units (i.e. "squares") appear on each [b]white face[/b]?
That is, how many square units, or squares, cover the ENTIRE SURFACE of this rectangular prism?
Without looking up anything on another tab in your internet browser, DESCRIBE how we can determine the total surface area (number of squares) that cover the entire surface of this rectangular prism. [i]Be specific! [br][br][/i]Bonus: Come up with the algebraic formula. - EXPLAIN your answer