Two cubes of side 4cm are fixed together.Find the total surface area ie the new solid formed
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Given, the edge of the cube is 4 cm.
When two cubes are joined end to end, then the resulting solid is a cuboid.
Length of the cuboid, l = 2 × Edge of the cube = 2 × 4 cm = 8 cm
Breadth of the cuboid, b = Edge of the cube = 4 cm
Height of the cuboid, h = Edge of the cube = 4 cm
Surface area of the cuboid
= 2 (lb + bh + hl)
= 2 (8 cm × 4 cm + 4 cm × 4 cm + 4 cm × 8 cm)
= 2 (32 cm2 + 16 cm2 + 32 cm2)
= 2 × 80 cm2
= 160 cm2
Thus, the surface area of the resulting cuboid is 160 cm2.
When two cubes are joined end to end, then the resulting solid is a cuboid.
Length of the cuboid, l = 2 × Edge of the cube = 2 × 4 cm = 8 cm
Breadth of the cuboid, b = Edge of the cube = 4 cm
Height of the cuboid, h = Edge of the cube = 4 cm
Surface area of the cuboid
= 2 (lb + bh + hl)
= 2 (8 cm × 4 cm + 4 cm × 4 cm + 4 cm × 8 cm)
= 2 (32 cm2 + 16 cm2 + 32 cm2)
= 2 × 80 cm2
= 160 cm2
Thus, the surface area of the resulting cuboid is 160 cm2.
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