ABC26GN4826 · Volume and Surface Area
Subject: General Aptitude · Chapter: Volume and Surface Area · Exam: 2008 · Marks: · Difficulty:
A covered wooden box has the inner measures as 115 cm, 75 cm and 35 cm and the thickness of wood is 2.5 cm. Find the volume of the wood.
(a)81000 cu.cm
(b)81775 cu.cm
(c)82125 cu.cm
(d)None of these
Answer
Explanation
The external measures of the box are $(115+5) \mathrm{cm}$, $(75+5) \mathrm{cm}$ and $(35+5) \mathrm{cm}$ i.e., $120 \mathrm{cm}, 80 \mathrm{cm}$ and 40 cm . Volume of the wood = External volume - Internal volume $$\begin{aligned} & =[(120 \times 80 \times 40)-(115 \times 75 \times 35)] \mathrm{cm}^{3} \\ & =(384000-301875) \mathrm{cm}^{3}=82125 \mathrm{cm}^{3} . \end{aligned}$$
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