Question

if each edge of a cuboid of surface area is doubled and the surface area of new cuboid is​

Answer 1

Answer:

4 times

Step-by-step explanation:

Let surface area of cube with edge x be

6a square

6× x × x

6xsquare

surface area with edge doubled

6 × 2x × 2x

24xsquare

Answer 2

Answer:

Step-by-step explanation:

Let old dimensions be x,y,z

Thus, new dimensions = 2x,2y,2z

Old S.A = 2 (xy + yz + zx)

New S.A = 2(4xy + 4yz + 4zx)

= 8 (xy + yz + zx)

Ratio between Old S.A and New S.A = 2(xy + yz + zx) : 8 (xy + yz + zx)

= 1 : 4 ratio.

Thus the new S.A is 4 ti!mes the old S.A