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Question

A cuboidal petrol tank is $$30$$ cm long, $$30$$ cm wide and $$1\ m$$ $$60\ cm$$ high. It has petrol upto a height of $$40\ cm$$. How much more cubic cm of petrol can the tank contain?


Solution

Given cuboidal tanks having,
Length(l)$$=30$$cm
Breadth(b)$$=30$$cm
Height(h)$$=1$$m $$60$$cm
$$=100cm+60cm$$
$$=160$$cm
Given, Cuboidal tank already has petrol till height $$40$$cm.
To find: $$cm^3$$ of $$v_{more}$$ petrol that tanks can contain.
Sol: Volume of max petrol that tanks can contain$$=\left(Total volume of tank\right)-\left(volume of cuboidal tank taking height 40 cm\right)$$
[using formula $$\rightarrow$$ Volume of cuboidal$$=l\times b\times h$$]
We get,
Required volume$$=\left[(30\times 30\times 160)-(30\times 30\times 40)\right]cm^3$$
$$=30\times 30[160-40]cm^3$$
$$=30\times 30\times 120cm^3$$
$$=108000cm^3$$.

1170739_407745_ans_457744668fe144f8908b7d305a0396e4.JPG

Mathematics

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