a rectangular carton is 80*60*40 i) how many packet of soaps can each of 10*5*4 cm can be kept insidethe carton? ii) by how many centimeters should the height of the carton be increased to keep 1200 packets of soaps
Answers
Answer:
no of cartoons =960
increased height =10cm
Step-by-step explanation:
dimensions of cartoon
80×60×40
dimensions of soap packet
10×5×4
let no of packets that can be placed in cartoon is n
volume of catoon=n×volume of packet
80×60×40= n× 10×5×4
80×60×40
n = ------------------
10 ×5×4
n = 8×12×10
n = 960
so 960 packets can be placed in the catoon
now let height be increased and it becomes h to facilitate 1200 boxes
now
volume of cartoon=80×60×h
so
volume of cartoon =1200×volume of
one packet
80×60×h = 1200×10×5×4
1200×10×5×4
h=-----------------------
80 × 60
h = 50 cm
increased height =50-40=10cm