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A small indoor greenhouse (herbarium) is made entirely of glass panes (including base) held together with tape. It is 30 cm long, 25 cm wide and 25 cm high.
(I) what is the area of the glass?
(ii) How much tape is needed for all the 12 edges?

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320 cm

330 cm

340 cm

350 cm

answer is A.

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Detailed Solution

Given: A herbarium with measurements of

30 cm \times 25 cm \times 25 cm

Height,

h = 25 cm

Length,

, l = 30 cm

Breadth,

b = 25 cm

So,
The glass's surface area

= 2 (lb + bh + hl)

\begin{matrix} = 2 \times (30 cm \times 25 cm + 25 cm \times 25 cm + 25 cm \times 30 cm) \\ = 2 \times (750 {cm}^{2} + 625 {cm}^{2} + 750 {cm}^{2}) \\ = 2 \times 2125 {cm}^{2} \\ = 4250 {cm}^{2} \end{matrix}

Tap required for 12 edges,

= 4 (l + b + h)

= 4 \times (30 cm + 25 cm + 25 cm) = 4 \times 80 cm = 320 cm

As a result, the glass has an area of

4250 {cm}^{2}

, and 320 cm of tape is required to cover all 12 edges.
Option 1 is Correct

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