A cuboidal container has dimensions of $20$ cm $\times$ $18$ cm $\times$ $16$ cm. Find the maximum number of syrup bottles whose contents can be emptied into the container, if each bottle contains $24$ $c m^{3}$ of syrup.

120

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180

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240

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270

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Solution

The correct option is C $240$
As the container is cuboidal, its volume $= l e n g t h \times b r e a d t h \times h e i g h t$
So, amount of syrup contained in it $= 20 \times 18 \times 16$ cu cm.
And as each syrup bottle can contain $24 {c m}^{3}$ of syrup, number of bottles that can be filled $= \frac{20 \times 18 \times 16}{24} = 240$ .

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A cuboidal container has dimensions of 20 cm × 18 cm × 16 cm. Find the maximum number of syrup bottles whose contents can be emptied into the container, if each bottle contains 24 cm3 of syrup.

The correct option is C 240As the container is cuboidal, its volume =length×breadth×heightSo, amount of syrup contained in it =20×18×16 cu cm. And as each syrup bottle can contain 24 cm3 of syrup, number of bottles that can be filled =20×18×1624=240.

A cuboidal container has dimensions of $20$ cm $\times$ $18$ cm $\times$ $16$ cm. Find the maximum number of syrup bottles whose contents can be emptied into the container, if each bottle contains $24$ $c m^{3}$ of syrup.