[i]Visualize in your mind that you have wooden building blocks, whose parts are regular quadrilateral pyramids - or right triangle pyramids as seen in the previous activity. [br][br]It is known that the height of the modular pyramids is two times smaller than the length of their[br]base edge. [br][br]Now mentally use individual pyramids to construct an unlimited number of the same cubes, which we call building blocks. [br][br]Consequently, use your building blocks to build a cube C in the size of 4 × 4 × 4 building blocks and answer the following questions.[br][br][/i](Write the answer in the form 'number and number', for example, 23 and 32.)
[br]Use the following GeoGebra Applet to solve the problems or check your solutions.
[i]a. [/i][i]How many building blocks and modular pyramids do you need to build cube C?[/i]
[i]b. [/i][i]How many building blocks and modular pyramids are hidden in cube C that cannot be seen at all?[/i]
[i]c. [/i][i]How many building blocks and modular pyramids are in cube C that have visible two or three faces?[/i]
[i]d. [/i][i]How many building blocks and modular pyramids are in cube C that have three or four hidden faces?[/i][br]