the Length breadth and the height of a cuboid are in the ratio 5 : 3 : 2 if its volume is 240 CM cube find its dimensions also find the total surface area of the cuboid
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Answered by
6
HEY THERE
Volume of cuboid is l×b×h
Let the ratio be x
Volume= 5: 3: 2
240=5x × 3x × 2x
240/30= x
8=x
l=5×8=40
b=3×8=24
h=2×8=16
T. S. A. = 2(lb+lh+bh)
=2×(40×24+40×16+24×16)
=2×(960+640+384)
=2×1984
=2368 cm^2
HOPE IT HELPS
Volume of cuboid is l×b×h
Let the ratio be x
Volume= 5: 3: 2
240=5x × 3x × 2x
240/30= x
8=x
l=5×8=40
b=3×8=24
h=2×8=16
T. S. A. = 2(lb+lh+bh)
=2×(40×24+40×16+24×16)
=2×(960+640+384)
=2×1984
=2368 cm^2
HOPE IT HELPS
ujju3888:
wrong answer!!
Answered by
8
here is your answer
let the length be 5x
breadth be 3x
and height be 2x
given that,,
volume= 240cubic cm
l×b×h=240
5x*3x*2x=240
30x*x*x=240
x*x*x=8
x= 2
therefore length, breadth and height be 10cm, 6cm and 4cm
therefore TSA= 2(10×6+6×4+4×10)
=2(60+24+40)
=2×124
=248 sq cm
let the length be 5x
breadth be 3x
and height be 2x
given that,,
volume= 240cubic cm
l×b×h=240
5x*3x*2x=240
30x*x*x=240
x*x*x=8
x= 2
therefore length, breadth and height be 10cm, 6cm and 4cm
therefore TSA= 2(10×6+6×4+4×10)
=2(60+24+40)
=2×124
=248 sq cm
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