a rectangular block of metal measuring 4 cm by 5 cm by 6 CM was melted down to make a block it's and long by 3 cm wide how high was the block
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dimensions of the first rectangular block :
length = l = 4cm ;
width = w = 5cm;
height = h = 6 cm ;
volume of the first rectangular metal block = v = lwh -----( 1 )
Dimension of the second rectangular block :
length = L = 8cm ;
width = W = 3 cm ;
let height = H cm
volume of the second metal block = V = LWH----( 2 )
according to the problem ,
first block is melted and cast into second block, therefore volumes of
two blocks are equal.
V = v
( 2 ) = ( 1 )
LWH = lwh
H = lwh / LW
H = ( 4 cm × 5 cm × 6 cm ) / ( 8 cm × 3 cm )
H = 5 cm
Height of the second rectangular metal block = H = 5 cm
length = l = 4cm ;
width = w = 5cm;
height = h = 6 cm ;
volume of the first rectangular metal block = v = lwh -----( 1 )
Dimension of the second rectangular block :
length = L = 8cm ;
width = W = 3 cm ;
let height = H cm
volume of the second metal block = V = LWH----( 2 )
according to the problem ,
first block is melted and cast into second block, therefore volumes of
two blocks are equal.
V = v
( 2 ) = ( 1 )
LWH = lwh
H = lwh / LW
H = ( 4 cm × 5 cm × 6 cm ) / ( 8 cm × 3 cm )
H = 5 cm
Height of the second rectangular metal block = H = 5 cm
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