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Question

A small indoor greenhouse (herbarium) is made entirely of glass panes (including base) held together with tape.

It is 30cm long, 25cm wide and 25cm high.

  1. What is the area of the glass?
  2. How much of tape is needed for all the 12 edges?

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Solution

Step-1: Calculate the total surface area of the greenhouse according to its shape:

The shape of the herbarium is a cuboid.

Hence, the total surface area is the sum of six rectangular faces

The total surface area of a cuboid is given as

Total surface area=2lb+bh+lh

where, l is the length, b is the breadth and his the height of the cuboid.

Substituting the values we get

Total surface area =230×25+25×25+30×25

=2750+625+750cm2

=2×2125cm2

Total surface area=4250cm2

Hence, the area of the glass required for the herbarium is 4250cm2

Step-2: Calculate the length of tape needed for the edges:

Since the herbarium is made entirely of glass planes and held together by tape, the length of tape needed for 12 edges will be equal to the length of the 12 edges

Length of edges=4l+b+h

=430+25+25

=4×80

Length of edges=320cm

Hence, the length of tape needed for 12 edges is 320cm.


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