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NCERT Solutions Class 8 Mathematics Solutions for Exercise 9.2 in Chapter 9 - Algebraic Expressions and Identities
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Q4) Obtain the volume of rectangular boxes with the following length, breadth, and height respectively:
(i) 5a,\ 3a^27a^4
(ii) 2p,\ 4q,\ 8r
(iii) xy,\ 2x^2y,\ 2xy^2
(iv) a,\ 2b,\ 3c
Solution:
(i) Volume of rectangular box
= Length x Breadth x Height
= 5a\times3a^2\times7a^4
= \left(5\times3\times7\right)\left(a\times a^2\times a^4\right)
= 105a^7 cubic units
(ii) Volume of rectangular box
= Length x Breadth x Height
= 2p\times4q\times8r=\left(2\times4\times8\right)\left(p\times q\times r\right)
= 64\ pqr cubic units
(iii) = Length x Breadth x Height
= Length x Breadth x Height
= xy\times2x^2y\times2xy^2
= \left(1\times2\times2\right)\left(x\times x^2\times x\times y\times y\times y^2\right)
4x^4y^4 cubic units
(iv) Volume of rectangular
= Length x Breadth x Height
= a\times2b\times3c=\left(1\times2\times3\right)\left(a\times b\times c\right)
= 6abc cubic units
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