Activity-8 To compare the surface areas of two unit cubes and the cuboid formed by joining these unit cubes.
Learning Objective: To understand the concept that surface area decreases on joining two 3D objects.
Pre-requisite • Knowledge of area of a square.
Materials Required : Unit cubes.
Procedure:
Step 1. Take 2 unit cubes and place them adjacent to each other without
leaving any gap between their two faces as shown in Fig. 8.
Step 2. Find the surface area of the solid shape so formed.
Observations:
(1) Surface area of one unit cube =
(ii) Surface area of two unit cubes =
(iii) Solid formed by joining the two unit cubes is
Fig. 8
(iv) Surface area of the new solid formed by joining two unit cubes =
sq units.
(v) Surface area of the new solid is
than the surface area of two unit cubes.
(vi) Surface area of the new solid is
square units
than the surface area of two
unit cubes.
sq units.
sq units.
sq units.
Extension: This activity may be extended by taking three or more unit cubes and making different 3
dimensional shapes and finding their surface areas.
Learning Objective: To understand the concept that surface area decreases on joining two 3D objects.
Pre-requisite • Knowledge of area of a square.
Materials Required : Unit cubes.
Procedure:
Step 1. Take 2 unit cubes and place them adjacent to each other without
leaving any gap between their two faces as shown in Fig. 8.
Step 2. Find the surface area of the solid shape so formed.
Observations:
(1) Surface area of one unit cube =
(ii) Surface area of two unit cubes =
(iii) Solid formed by joining the two unit cubes is
Fig. 8
(iv) Surface area of the new solid formed by joining two unit cubes =
sq units.
(v) Surface area of the new solid is
than the surface area of two unit cubes.
(vi) Surface area of the new solid is
square units
than the surface area of two
unit cubes.
sq units.
sq units.
sq units.
Extension: This activity may be extended by taking three or more unit cubes and making different 3
dimensional shapes and finding their surface areas.
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