If the edge of a cube is doubled,(a) find the ratio of the original vo

1.	If the edge of a cube is doubled,(a) find the ratio of the original volume to new volume.(b) find the ratio of new surface area to the original surface area.
Answer» a) Ratio = 1:8 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)²cm²= 24x²cm² If the edge of the cube is doubled surface area of the cube increases by 4 times. Ratio = 1:4

If the edge of a cube is doubled,(a) find the ratio of the original volume to new volume.(b) find the ratio of new surface area to the original surface area.

Answer»

a) Ratio = 1:8

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)²cm²= 24x²cm²

If the edge of the cube is doubled surface area of the cube increases by 4 times.

Ratio = 1:4