Question

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A cubical box has cach edge 10 cm and another cuboidal box is 12.5 cm long. 10 C
wide and 8 cm high
(0) Which box has the greater lateral surface area and by how much?
(i) Which box has the smaller total surface area and by how much?
A small indoor greenhouse (herbarium) is made entirely of glass panes (includin
base) held together with tape. It is 30 cm long. 25 cm wide and 25 cm high
1) What is the area of the glass?
G) How much of tape is needed for all the 12 edges?
order for making cardboard boxes for packing
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Answer 1

Answer:

(i) Lateral surface area of cube = 4edge

2

=4(10)

2

=400

lateral surface area of cuboid =2h(l+b)

2×8(12.5+10)

=16×22.5

=360

So, the lateral surface area of the cube is larger by (400−360=40)cm

2

(ii) Total surface area of cube = 6edge

2

=6(10)

2

=600

lateral surface area of cuboid =2(lb+bh+hl)

2(12.5×10+10×8+8×12.5)

=2(125+80+100)

=610

So, the total surface area of cuboid is larger by (610−600=10) cm

2