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A small indoor greenhouse (herbarium) is made entirely of glass panes (including base) held with tape. It is 30 cm long, 25 cm wide and 25 cm high. What is the area of the glass?

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4260 c m^{2}

4250 c m^{2}

4240 c m^{2}

4270 c m^{2}

answer is B.

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Detailed Solution

Given that, a small indoor greenhouse is made entirely with the glass. The greenhouse is cuboid. The length of the house is

l = 30 cm

, the breadth of the house is

b = 25 cm

and the height of the house is

h = 25 cm

.
Since the glass is on the 6 sides of the greenhouse.
So, the area of the glass=Surface area of the greenhouse.
Since the surface area of the cuboid is given by,

S = 2 (lb + bh + hl)

.
Therefore,

S = 2 (30 \times 25 + 25 \times 25 + 25 \times 30)

\Rightarrow S = 2 (750 + 625 + 750)

\Rightarrow S = 2 \times 2125

\Rightarrow S = 4250 c m^{2}

.
Thus, the area of the glass is

4250 c m^{2}

.
Hence, option 2 is correct.

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