Two cubes of size "4cm" and "6cm" are "],[" melted to form a cuboid of length "10cm],[" and breadth "8 cm" .What is the height of "],[" the cuboid so formed?
" (1) "4.5cm],[" (2) "3.5cm],[" (4) "2.5cm]
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Answer: 3.5 cm
Step-by-step explanation:
CUBE 1:—
Side = 4 cm
Therefore, volume = (side)³ units³ = (4)³ cm³ = 64 cm³
CUBE 2:—
Side = 6 cm
Therefore, volume = (side)³ units³ = (6)³ cm³ = 216 cm³
CUBOID:—
Length = 10 cm
Breadth = 8 cm
Since Cube 1 & Cube 2 have been melted to form a cuboid,
Therefore,
Total volume of the cubes = volume of the cuboid
=> 64+216 cm³ = 10×8×h cm³
=> 280 cm³ = 80×h cm
=> 280/80 cm = h
=> 7/2 cm = h
=> 3.5 cm = h
Hence, the height of the cuboid is 3.5cm
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