Question

A cuboid has total surface area 4048cm and lateral surface area is 253cm find the area of its base​

Answer 1

Answer:

1897.5 $cm^{2}$

Step-by-step explanation:

To find - lb

we know 2(lb+lh+bh) = 4048 ---(1)

we also know 2(lh+bh) = 253---(2)

In (1)

2lb+2lh+2bh=4048

2lb = 4048-(2lh+2bh)

2lb = 2[2024-(lh+bh)]

lb = 2024-(lh+bh)

now from eq (2)

2(lh+bh) = 253

lh+bh = $\frac{253}{2}$

∴lb = 2024 - ( $\frac{253}{2}$ )

 lb = $\frac{4048-253}{2}$

 lb = $\frac{3795}{2}$

∴ lb = 1897.5 $cm^{2}$