Category 1
Why does the graph start at 69.14 and go up by 0.01 each time?
The graph starts at 69.14 to not waste as much space and goes up my 0.01 to be more exact. ( square root of 28800/6 equals about 69.28, so this is also why we want to get to this exact number).
What does the GeoGebra drawing illustrate?
It shows the scale drawing of how to cut the plywood to maximize the volume of the box and to keep the waste of plywood to a minimum.
What is the formula for the Area of the base?
A2*A2
What is the formula for the volume?
B2*D2
Why are the dimensions of the GeoGebra diagram smaller numbers than the actual dimensions of the real box?
The dimensions in the GeoGebra diagram are to scale.
An assumption that can be made is that Dylan cuts the plywood evenly to not waste any. True or False?
True.
Why are the greatest dimensions all equal?
Because a cube forms the greatest volume.
Why is the surface area 28800 cm squared?
This is because 120 cm multiplied by 140 cm equals 28800 cm squared.
What is the side length of the box to the nearest tenth of a cm?
About 69.3 cm. (square root of 28800/6)
What is the formula for the height?
The formula for the height is (C2-2*B2)/(4*A2) or
the (SA-2*Area of base)/(4*side length of base)
What does the square-based prism need to be built out of?
Plywood.
Referring back to the Geogebra diagram, should the plywood be cut into six equal squares since it is a square-based prism?
No, the plywood should be cut in a way that also creates the least amount of plywood waste.
In this question, how should we round the dimensions of the box?
To the nearest tenth of a centimetre.
How can you double check that the dimensions in the excel chart are correct.
You can use the formula square root of SA/6
Is it important to make sure that the excel diagram includes dimensions that are not only positive, but also negative?
No, negative integers are not needed since negative dimensions cannot be formed.