The dimensions of the swimming pool are ( a+b ) m x ( 2 a - 3 b ) m - Maths - Algebraic Expressions and Identities

Question

The dimensions of the swimming pool are ( a+b ) m x ( 2 a - 3 b ) m
x ( 3 a - 2 b ) m Find its capacity in kilolitres

Neha Sethi · Accepted Answer

Dear student

Given:  length,l=a+b ,breadth,b=2a-3b,height,h=3a-2b Volume of swimming pool=lbh=a+b2a-3b3a-2b=2a2-3ab+2ab-3b23a-2b=6a3-4a2b-9a2b+6ab2+6a2b-4ab2-9b2a+6b3=6a3+6b3-7a2b-7ab2m3=6a3+6b3-7a2b-7ab2kl   As m3=kl
Regards

The dimensions of the swimming pool are ( a+b ) m x ( 2 a - 3 b ) m x ( 3 a - 2 b ) m . Find its capacity in kilolitres.