Two books (Chemistry book and Biology book) are taken. Chemistry book has a volume of
600 cm and Biology book has a volume of 800 cm. Which of them has a greater total surface area?
(A) Chemistry Book
(B) Biology Book
(C) Cannot be said
Answers
Given : Two books (Chemistry book and Biology book) are taken. Chemistry book has a volume of 600 cm³ and Biology book has a volume of 800 cm³.
To Find : Which of them has a greater total surface area?
(A) Chemistry Book
(B) Biology Book
(C) Cannot be said
Solution:
From Volume we can not find surface area of cuboid
For example
Biology book has a volume of 800 cm³ has sides 10 x 10 x 8 cm
Then surface area = 2( 100 + 80 + 80)
= 520 cm²
If Chemistry book has a volume of 600 cm³ has sides 20 x 15 x 2 cm
Then surface area = 2( 300 + 40 + 30)
= 740 cm²
Chemistry book has greater surface area
If Chemistry book has a volume of 600 cm³ has sides 10 x 10 x 6 cm
Then surface area = 2( 100 + 60 + 60)
= 440 cm²
Biology book has greater surface area
Hence depending upon dimensions Surface area of any book can be greater or lesser.
Cannot be said be is correct answer
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