Question #138976
What is the weight of a steel plate 15 ft. long, 4 ft. wide, and 5/8 in,
thick, if the steel weighs 475 lbs/f
1
Expert's answer
2020-10-17T13:54:16-0400

Explanations & Calculations


  • m=vρ\small m=v \rho is the equation usually employed in these kinds of questions.
  • Therefore,

V=15ft×4ft×58×(112ft)=258ft3\qquad\qquad \begin{aligned} \small V&= \small 15ft\times4ft \times\frac{5}{8}\times\Big(\frac{1}{12}ft\Big)\\ &= \small \frac{25}{8}ft^3 \end{aligned}

  • Therefore the weight of the plate is,

m=258ft3×475lbsft3=1484.375lbs\qquad\qquad \begin{aligned} \small m&= \small \frac{25}{8}ft^3\times475 lbsft^{-3}\\ &=\small \bold{1484.375lbs} \end{aligned}


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