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
![(95lb)/(1ft^2)*\frac{1\operatorname{kg}}{2.205lb}*(1ft^2)/((144)in^2)*(1in^2)/((0.0254)^2m^2)]()
This can be further simplified as:
![\begin{gathered} =(95)/(1)*\frac{1\operatorname{kg}}{2.205}*(1)/(144)*(1)/(0.00064516m^2) \\ =\frac{95\operatorname{kg}}{0.2048512032m^2} \\ =463.75\operatorname{kg}m^(-2) \end{gathered}]()
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:
![\begin{gathered} =82.7\cancel{ft^2}^{}*\frac{144\cancel{in^2}^{}}{1\cancel{ft^2}^{}}*\frac{6.4516\operatorname{cm}}{1\cancel{in^2}^{}} \\ =76,830.81\operatorname{cm}^2 \end{gathered}]()
Hence the conversion of 82.7 ft² to cm² is 76,830.81 cm²