Question

The volume of a cubical carton box is 75,000 cubic centimeters. How many boxes of dimensions 3 cm x 2 cm x 1 cm can be packed in the cubical carton box?

Answer 1

Answer:

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Step-by-step explanation:

$so \: here \: for \: a \: cubical \: carton \: box \\ its \: volume(v1) = 75000.cubic \: cm \\ also \: for \: a \: cuboidal \: box \\ length(l) = 3.cm \\ breadth(b) = 2 \: .cm \\ height(h) = 1.cm$

$so \: we \: know \: that \: \\ voulume \: of \: any \: cuboidal \: object = l \times b \times h \\ thus \: volume \: of \: cuboidal \: box = l \times b \times h \\ \\ so \: no.of \: boxes \: that \: can \: be \: made = volume \: of \: cubical \: carton \: box \div cuboidal \: box \\ = 75000 \div l \times b \ \times h \\ = 75000 \div 3 \times 2 \times 1 \\ = 75000 \div 6 \times 1 \\ = 75000 ÷ 6 \\ = 12500$

$hence \: about \: 12500 \: boxes \: can \: be \: made \: from \: given \: dimensions$