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A solid cube has side 8 cm It is cut along...

This question belongs to Arithmetic Ability Mensuration 3D
Mensuration 3D
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A solid cube has side 8 cm. It is cut along diagonals of top face to get 4 equal parts. What is the total surface (in cm2) of each part?

Answer & Solution
Correct Answer: Option A
Mensuration 3D mcq question image
Total surface area of each part is = 2 × Area of base + Perimeter of base × Height
Mensuration 3D mcq question image
$$\eqalign{ & = 2 \times \frac{1}{2} \times 4\sqrt 2 \times 4\sqrt 2 + \left( {8 + 8\sqrt 2 } \right) \times 8 \cr & = 32 + 64 + 64\sqrt 2 \cr & = 96 + 64\sqrt 2 \cr} $$
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