Question

ajudem a resolver essa questão pfvv

Answer 1

Resposta:

a)

$S(p) = \frac{11}{100} \times {8}^{ \frac{2}{3} }$

$S(p) = \frac{11}{100} \times ( {2}^{3} ) ^{ \frac{2}{3} }$

$S(p) = \frac{11}{100} \times 4$

$S(p) = \frac{11}{25} \: {m}^{2}$

b)

Já que a área duplicou, temos:

$2 \times \frac{11}{25} = \frac{11}{100} {p}^{ \frac{2}{3} }$

$\frac{22}{25} = \frac{11}{100} {p}^{ \frac{2}{3} }$

$\frac{100}{11} \times \frac{22}{25} = {p}^{ \frac{2}{3} }$

$8 = {p}^{ \frac{2}{3} }$

$\sqrt[3]{ {p}^{2} } = 8$

${p}^{2} = 512$

$p = 16 \sqrt{2}$

$p = 22.4 \: kg$