Question

The length,breadth and height of a rectangular box are 1:2:3 Find the volume of the box,when its surface area is 1078 sq m

Answer 1

Let, l = 1x; b = 2x and h = 3x
T.S.A = 2(lb+bh+hl) = 1078

$$\begin{gathered} 2(2x^2+6x^2+3x^2)=1078 \\ 11x^2=1078 \\ x=7 \\ So,l=7cm \\ b=14cm \\ h=21cm \\ volume=l\times b\times h \\ =7\times 14\times 21=2058c{m}^3 \end{gathered}$$