three iron cuboids whose edges are 5 cm, 4 cm and 3 cm respectively are melted to form a single cube. Find the surface area of new cube formed
Answers
Answer:
191.28 cm²
Step-by-step explanation:
the volume of one cuboid is = (5×4×3) cm³
= 60 cm³
the volume of three cuboids are = (3×60) cm³
= 180 cm³
∴ the volume of the single cube is = 180 cm³
Hence, the edges of the cube is = ∛180 ≈ 5.65 cm
the surface area of new cube is = 6 × (5.65)² cm²
= 191.28 cm²
Answer:
Step-by-step explanation:
GIVEN :
Edge of first cube : 3cm
Edge of second cube : 4cm
Edge of third cube : 5cm
TO FIND :
Surface area of new cube formed
SOLUTION :
Let side of new cube be "a" cm
Note : if three cubes are melted to form a single cube the volume remains same
Volume of cube 1 + volume of cube 2 + volume of cube 3 = volume of larger cube
3×3×3 + 4×4×4 + 5×5×5 = a×a×a
27 + 64 + 125 = a×a×a
216 = a×a×a
a = 6
Total surface area of cube = 6×a×a
Total surface area of cube = 6×6×6
Total surface area of cube= 216cm2
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