the length of the cuboid is 12 centimeter breadth and height are equal in measurements and it's volume is 432 centimetre cube the cuboid is cut into 2 cubes find the lateral surface area of each cube
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Given : volume=432, length=12,breadth=height
length x breadth x height = 432
breadth x height = 432/12
breadth = height[given]
hence => breadth x breadth = 36
breadth= sqrt[36]
breadth=6
this means height = 6
so height =6
breadth =6
length =12
cube should have all sides of same length
so each cube should have 6x6x6 length
so side of cube a=6
lateral surface area of cube = 4 x a x a
= 4 x 6 x 6
= 4 x 36
= 144
so each new cube should have LSA[lateral surface area]=144
length x breadth x height = 432
breadth x height = 432/12
breadth = height[given]
hence => breadth x breadth = 36
breadth= sqrt[36]
breadth=6
this means height = 6
so height =6
breadth =6
length =12
cube should have all sides of same length
so each cube should have 6x6x6 length
so side of cube a=6
lateral surface area of cube = 4 x a x a
= 4 x 6 x 6
= 4 x 36
= 144
so each new cube should have LSA[lateral surface area]=144
Answered by
0
Answer:144
Step-by-step explanation:Given : volume=432, length=12,breadth=height
length x breadth x height = 432
breadth x height = 432/12
breadth = height[given]
hence => breadth x breadth = 36
breadth= sqrt[36]
breadth=6
this means height = 6
so height =6
breadth =6
length =12
cube should have all sides of same length
so each cube should have 6x6x6 length
so side of cube a=6
lateral surface area of cube = 4 x a x a
= 4 x 6 x 6
= 4 x 36
= 144
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