Perfect Reasoning by Tiro Phenyo Nkau - HTML preview

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21. The hollow sphere's area

The hollow sphere's area can be noted down as the area of one of its x,y,z positions multiplied by 6. This is because the area will then cover 6 sides just as a square cube has 6 sides. The only real difference between the area of the square and the circle's area will be the fact that instead of being flat like the square, the outer area of circle will be situated at the square's centre while its centre will be situated at the surface of the it .

Measurement formula: (π×diametre²/4) × 6 or (diameter² × 11/14) × 6

Three dimensional shape measurements

22. The volume pyramid

The volume pyramid's measurement can be noted down as the front triangle's base width multiplied by its depth multiplied by its height multiplied by half.

This is because a pyramid is the 3d version of the triangle and it also exists as a half dimensional 3d shape in the sense that its height, depth and width are real at its bottom and disappear at its top.

Measurement Formula: base width × base depth × height × ½

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