Question

Answer this question and I'll mark the answer as brainliest if it's correct : The total surface area of a cuboid is 95cm2 and it's lateral surface area is 63cm2. Find the area of its base.​

Answer 1

Answer:

16 cm^2

Step-by-step explanation:

Given,

Total surface area of a cuboid = 95 cm²

2(lb + bh + hl)  = 95    ----- (1)

Lateral surface area = 63 cm²

2h(l + b) = 63    --------- (2)

Then,

TSA - LSA = 2(lb + bh + lh) - 2h(l + b)

=> 95 - 63 = 2lb + 2bh + 2lh - 2lh - 2hb

=> 32 = 2lb

=> lb = 16 cm²

Therefore,

Area of base = 16 cm²

Hope it helps!