A cistern of capacity 8000 litres measures externally 3.3 m by 2.6 m by 1.1 m and its walls are 5 cm thick… · ABC26GN4829
Subject: General Aptitude · Chapter: Volume and Surface Area
A cistern of capacity 8000 litres measures externally 3.3 m by 2.6 m by 1.1 m and its walls are 5 cm thick. The thickness of the bottom is
(a)90 cm
(b)1 dm
(c)1 m
(d)1.1 m
Answer
Explanation
Let the thickness of the bottom be $x \mathrm{cm}$. Then, $[(330-10) \times(260-10) \times(110-x)]=8000 \times 1000$ $$\begin{aligned} & \Leftrightarrow 320 \times 250 \times(110-x)=8000 \times 1000 \\ & \Leftrightarrow(110-x)=\frac{8000 \times 1000}{320 \times 250}=100 \\ & \Leftrightarrow x=10 \mathrm{cm}=1 \mathrm{dm} . \end{aligned}$$
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