To explore the changes in behaviours of surface areas and volumes of cuboids with respect to
each other.
(A) Cuboids with equal volumes
Let us consider some cuboids with equal volumes, having the following dimensions:
(i) l = 12 cm, b = 6 cm and h = 3 cm
(ii) l = 6 cm, b = 6 cm and h = 6 cm
Cuboids with equal surface areas
Let us now consider some cuboids with equal surface areas, having the following dimensions:
(v) l = 14 cm, b = 6 cm and h = 5.4 cm
(vi) l = 10 cm, b = 10 cm and h = 4.6 cm
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v) l = 14 cm, b = 6 cm and h = 5.4 cm.
Answer:
Cuboids with equal volumes
Let us consider some cuboids with equal volumes, having the following dimensions:
(i) l = 12 cm, b = 6 cm and h = 3 cm
(ii) l = 6 cm, b = 6 cm and h = 6 cm
Cuboids with equal surface areas
Let us now consider some cuboids with equal surface areas, having the following dimensions:
(v) l = 14 cm, b = 6 cm and h = 5.4 cm
(vi) l = 10 cm, b = 10 cm and h = 4.6 cm
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