Question

Un paralipiped drepthungic are aria bazei 80cm patrati si o latura a bazei de 60cm, sa se afle perimetrul unui baze diagonala unei bazei

Answer 1

Explicație pas cu pas:

aria bazei: A = L × l

L = 60 cm

A = 80 cm²

=> 60 × l = 80

$\ell = 80 : 60 \implies \ell = \dfrac{4}{3} \ cm \approx \ 1,33 \ cm$

perimetrul bazei:

$P = 2 \cdot (L + \ell) = 2 \cdot \Big(60 + \dfrac{4}{3} \Big) = 120 + \dfrac{8}{3} = \dfrac{368}{3} = 122\dfrac{2}{3} \ cm \approx \ 122,67 \ cm$

T.P.:

${d}^{2} = {L}^{2} - {\ell}^{2} = {80}^{2} - {\Big( \dfrac{4}{3} \Big)}^{2}$

$d = \dfrac{4 \sqrt{3599} }{3} \approx \ 79,99 \ cm$