Question

The length, breadth and height of a room in the shape of a cuboid are increased by 10%, 20% and 50% respectively. Find the percentage change in the volume of the cuboid.
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Answer 1

shravan is the month of rain _____ three questions 6th class unseen passage

Answer 2

$\large\mathfrak\pink{Solution} \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \\ \mathtt{Given:\:The\: length,\:breadth\:and \: height \: of \: a} \\ \mathtt{room \: increased \: by \: 10\% \: 20\% \: and \: 50\% \: respectively.} \\ \\ \mathtt{Formula\: used:\: Volume\:of\: cuboid\: length×breadth×height} \\ \\ \mathtt{Calculation:} \\ \mathtt{Let\:the\: length,\: breadth\:and\:height} \\ \mathtt{be\:l,b \: and\:h\: respectively} \\ \\ \mathtt{Now\:new\: dimensions\:after\: increment} \\ \mathtt{New \: lenght = l + 10\% \: of \: l = 1.1l} \\ \mathtt{New \: breadth \: = b + 20\% \: of \: b = 1.2b} \\ \mathtt{New \: height = h + 50\% \: of \: h = 1.5h} \\ \\ \mathtt{Original \: volume = l \times b \times h \: \implies \: lbh} \\ \mathtt{New\: volume=(1.1)l×(1.2)b×(1.5)h\: \implies\:1.98lbh} \\ \mathtt{Percent\: increase\:in\: volume=(1.98lbh)/(lbh)×100\implies\:98} \\ \\ \large\mathtt {\fbox{ans = 98}}$