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15 June, 17:34

A cube with side length 4p is stacked on another cube with side length 2q^2. What is the total volume of the cubes in factored form?

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  1. 15 June, 17:48
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    This question obviously requires fewer than forty words to answer fully, but to fulfil the criteria above I will explain it a bit further. The total volume is the side length to the third power of the first cube, plus the side length to the third power of the second cube: 4p^3 + (2q^2) ^3
  2. 15 June, 17:51
    0
    Hello,

    Un cube avec une longueur latérale de 4p a un volume de (4p) ³.

    Il est empilé sur un autre cube avec une longueur latérale 2q ^ 2 et de volume (2q²) ³. Le volume total des cubes sous forme factorisée est

    (4p) ³ + (2q²) ³=64p³+8q⁶=8 ((2p) ³ + (q²) ³) = 8 (2p+q²) (4p²-2pq²+q^6)

    Cela va de soi que l'on a utilisé le produit remarquable:

    a³+b³ = (a+b) (a²-ab+b²)
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