Respuesta :
Answer:
a) 463.75kg/m²
b) 76,830.81 cm²
Explanations:
Given the following conversion rate:
• 1 inch = 2.54 cm
,• 1ft = 12 in
,• 1kg = 2.205
We are to convert the following parameter;
95.0lb/ft² to kg/m²
[tex]\frac{95lb}{1ft^2}\times\frac{1\operatorname{kg}}{2.205lb}\times\frac{1ft^2}{(144)in^2}\times\frac{1in^2}{(0.0254)^2m^2}[/tex]This can be further simplified as:
[tex]\begin{gathered} =\frac{95}{1}\times\frac{1\operatorname{kg}}{2.205}\times\frac{1}{144}\times\frac{1}{0.00064516m^2} \\ =\frac{95\operatorname{kg}}{0.2048512032m^2} \\ =463.75\operatorname{kg}m^{-2} \end{gathered}[/tex]b) For the conversion:
82.7 ft² to cm²
If 1ft = 12 in
1ft² = 12²in²
1ft² = 144in²
Similarly,
If 1 inch = 2.54 cm
1in² = (2.54)²cm²
1in² = 6.4516cm²
Applying these formulas for the conversion:
[tex]\begin{gathered} =82.7\cancel{ft^2}^{}\times\frac{144\cancel{in^2}^{}}{1\cancel{ft^2}^{}}\times\frac{6.4516\operatorname{cm}}{1\cancel{in^2}^{}} \\ =76,830.81\operatorname{cm}^2 \end{gathered}[/tex]Hence the conversion of 82.7 ft² to cm² is 76,830.81 cm²
