a)
2Ab = At - Al
2Ab = 200 - 56
2Ab = 144
Ab = 72 cm²
b)
Ab = 72 = AB×BC
72 = 8×BC => BC = 72/8 = 9 cm
c)
Al = 2(L×h + l×h)
56 = 2(9h + 8h)
28 = 17h => h = 28/17 ≈ 1, 65 cm
d)
V = L×l×h ×= 9×8×1,65 = 118, 8 cm³
a)
Ab = AB×BC = 8×4 = 32 cm²
b)
Al = At - 2Ab = 256 - 64 = 192 cm²
c)
Al = 2(L×h + l×h)
192 = 2(8h + 4h)
96 = 12h
h = 96/12 = 8 cm
d)
V = L×l×h = 8×4×8 = 256 cm³
a)
AB = √A'B² - AA'² = √225 - 144 = √81 = 9 cm
b)
V = 540 = L×l×h
540 = 9×12×BC
BC = 540/108 = 5 cm
AD = √BC² + AB² = √25 + 81 = √106 cm
c)
Al = 2(L×h + l×h)
= 2(9×12 + 5×12)
= 2(108 + 60)
= 2×168 = 336 cm²
d)
At = 2Ab + Al
= 2×9×5 + 336
= 90 + 336
= 426 cm³
