Three solid cubes of sides 1 cm, 6 cm and 8 cm are melted to form a new cube. Find the surface area of the cube so formed
A) 486
B) 586
C) 686
D) 786
Answers
Volume of new cube = (1^3+6^3+8^3)= 729 cm^3
Edge of new cube = 9 cm
Surface area of the new cube = ( 6 x 9 x 9) = 486 cm^2
surface area of the formed cube = 486 cm² if Three solid cubes of sides 1 cm, 6 cm and 8 cm are melted to form a new cube.
Step-by-step explanation:
Three solid cubes of sides 1 cm, 6 cm and 8 cm are melted to form a new cube
Volume of cube with side 1 cm = 1³ = 1 cm³
Volume of cube with side 6 cm = 6³ = 216 cm³
Volume of cube with side 8 cm = 8³ = 512 cm³
Total Volume = 1 + 216 + 512 = 729 cm³
Side of new cube = a cm
Volume of new cube = a³ cm³
a³ = 729
=> a = 9
Side of cube = 9 cm
Surface Area = 6 * a² = 6 * 9² = 486 cm²
surface area of the formed cube = 486 cm²
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