Q4 of 67 Page 187

The area of each face of a cube is 100 cm2. If the cube is cut into two equal parts by a plane parallel to the base then find the total surface area of each equal part.


A cube has 6 surfaces


We will get two cuboids after cutting


The cutting plane will pass through 4 surfaces halving their areas


So, each part will be having 4 surfaces with area 50 cm2


each part will have remaining 2 surfaces with area 100 cm2


total surface area of each part = 100 + 100 + 50 + 50 + 50 + 50


= 400 cm2


Therefore, total surface area of each part is 400 cm2


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