Obtain the volume of rectangular boxes with the following length, breadth and height respectively.

(i) 5a, 3a², 7a⁴ (ii) 2p, 4q, 8r (iii) xy, 2x²y, 2xy²

(iv) a, 2b, 3c

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Solution

We know that,

Volume = Length × Breadth × Height

(i) Volume = 5a × 3a² × 7a⁴ = 5 × 3 × 7 × a × a² × a⁴ = 105 a⁷

(ii) Volume = 2p × 4q × 8r = 2 × 4 × 8 × p × q × r = 64pqr

(iii) Volume = xy × 2x²y × 2xy² = 2 × 2 × xy ×x²y × xy² = 4x⁴y⁴

(iv) Volume = a × 2b × 3c = 2 × 3 × a × b × c = 6abc

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