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Question
The dimensions of a cuboid are in the ratio 4:3:1 and it's total surface area is 950cm^2 . Find the dimensions
The dimensions of a cuboid are in the ratio 4:3:1 and it's total surface area is 950cm^2 . Find the dimensions
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Solution
TSA= 2(lb+hl+bh)
dimensions of the given cubiod:
l= 4x
b=3x
h=1x
TSA of the given cubiod = 2(4x * 3x + 1x * 4x + 3x * 1x)
= 2( 12x2 + 4x2 + 3x2 )
= 2 * 19x2
=38x2
TSA of the given cubiod = 950 cm2
950 cm2 = 38x2
950/38= x2
25=x2
root of 25 = x
5=x
therefore, the dimensions are
l= 4x=4*5= 20cm
b=3x= 3*5=15cm
h=1x=1*5=5cm
TSA= 2(lb+hl+bh)
dimensions of the given cubiod:
l= 4x
b=3x
h=1x
TSA of the given cubiod = 2(4x * 3x + 1x * 4x + 3x * 1x)
= 2( 12x2 + 4x2 + 3x2 )
= 2 * 19x2
=38x2
TSA of the given cubiod = 950 cm2
950 cm2 = 38x2
950/38= x2
25=x2
root of 25 = x
5=x
therefore, the dimensions are
l= 4x=4*5= 20cm
b=3x= 3*5=15cm
h=1x=1*5=5cm
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