Question 4(iii)
Obtain the volume of rectangular boxes with the following length, breadth and height respectively:
$x y, 2 x^{2} y, 2 x y^{2}$

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Solution

Volume of rectangular box = $length \times breadth \times height$ $= x y \times 2 x^{2} y \times 2 x y^{2} = (1 \times 2 \times 2) (x \times x^{2} \times x \times y \times y \times y^{2})$
$= 4 x^{4} y^{4} cubic units$

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Question 4(iii)
Obtain the volume of rectangular boxes with the following length, breadth and height respectively:
$x y, 2 x^{2} y, 2 x y^{2}$

x y, 2 x^{2} y, 2 x y^{2}

5 a, 3 a^{2}, 7 a^{4}

2 p, 4 q, 8 r

x y, 2 x^{2} y, 2 x y^{2}

a, 2 b, 3 c

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

Question 4(i)
Obtain the volume of rectangular boxes with the following length, breadth and height respectively:
$5 a, 3 a^{2}, 7 a^{4}$

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