a toy is made seven equal cubes of sides √7 cm.six cubes are joined to six faces of seventh cube. find the total surface area of cube
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210 cm^2
1.Surface area of cube = 6×side ^2
= 6× (root 7)^2
= 6 × 7
= 42
Total surface area of toy = 6 × 5× side^2
= 30 × 7
= 210 cm^2
alternate method
Surface area of 7 cubes = 7 × 42
= 294 cm^2
Area of 12 faces = 12 × 7
= 84 cm^2
Area of toy = Surface area - Area of 12 faces
= 294 -84
= 210 cm^2
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