The weight of the rectangular block(W) of metal varies jointly as the length (l), the width(w) and the thickness (h). If the weight of a 12 cm by 8 cm by 6cm block of metal is 18 kg, find the weight of the 16 cm by10cm by 4cm metal block.
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Answer:
let W = weight of the rectangular block
l = length
w = weight
t = thickness
The equation: W = klwt
Step-by-step explanation:
solving for k , from the first set of given
data: W = 18, 1 = 2, w = 3, t = 4
W = klwt
18 = k(2)(3)(4)
18 = k(24)
k = 18/24
k = 0.75
to find the weight of the rectangular
block with l = 16, w = 10, t = 4 and k = 0.75
W = klwt
W = (0.75)(16)(10)(4)
W = 480
thus , the weight of the rectangular block of metal whose dimensions are 16 dm by 10dm by 4 dm, is 480 kg.
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