if each edge of a cube is doubled. 1. how many times will its surface area increase? 2 how many times will it volume increase?
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Let the length of the edge of the cube be 'x' cm
(i) Total surface area = 6x2 cm2
Increased length of the edge = 2x
Total surface area = 6(2x)2 cm2 = 24x2 cm2
If the edge of the cube is doubled surface area of the cube increases by 4 times.
(ii) Volume of the cube = x3 cm3
Increased length of the edge = 2x
Volume of the cube formed = (2x)3 cm3 = 8x3 cm3
If the edge of the cube is doubled volume of the cube is increases by 8 times.
(i) Total surface area = 6x2 cm2
Increased length of the edge = 2x
Total surface area = 6(2x)2 cm2 = 24x2 cm2
If the edge of the cube is doubled surface area of the cube increases by 4 times.
(ii) Volume of the cube = x3 cm3
Increased length of the edge = 2x
Volume of the cube formed = (2x)3 cm3 = 8x3 cm3
If the edge of the cube is doubled volume of the cube is increases by 8 times.
Answered by
1
Let the length of the edge of the cube be 'x' cm
(i) Total surface area = 6x2 cm2
Increased length of the edge = 2x
Total surface area = 6(2x)2 cm2 = 24x2 cm2
If the edge of the cube is doubled surface area of the cube increases by 4 times.
(ii) Volume of the cube = x3 cm3
Increased length of the edge = 2x
Volume of the cube formed = (2x)3 cm3 = 8x3 cm3
If the edge of the cube is doubled volume of the cube is increases by 8 times.
(i) Total surface area = 6x2 cm2
Increased length of the edge = 2x
Total surface area = 6(2x)2 cm2 = 24x2 cm2
If the edge of the cube is doubled surface area of the cube increases by 4 times.
(ii) Volume of the cube = x3 cm3
Increased length of the edge = 2x
Volume of the cube formed = (2x)3 cm3 = 8x3 cm3
If the edge of the cube is doubled volume of the cube is increases by 8 times.
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