Answer:
218 cm²
Explanation:
The lateral surface area (LSA) is the area of the sides excluding the top and botton part
LSA formula: 2h(l+b)
For the larger(green) cuboid, h = 4, l = 10, b =5
For the smaller(pink) cuboid, h = 6, l = 2, b =2
Total area = LSA(green) + top part of green + LSA(pink) + top of pink
LSA of green :
2h(l+b) = 2(4)(10+5)
= 8*15
= 120 -----eq(1)
Top part of green:
The area of green cuboid's top- area of pink cuboid's base
= (10*5) - (2*2)
= 50 - 4
= 46 -----eq(2)
LSA of pink:
2h(l+b) = 2(6)(2+2)
= 12*4
= 48 -----eq(3)
Top part of pink:
2*2 = 4 -----eq(3)
Total area:
eq(1) + eq(2) + eq(3) + eq(4)
= 120 + 45 + 48 + 4
= 218 cm²