Question

Two similar cuboid have corresponding width of 11cm and 9cm find the ratio of their surface areas

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the ratio of the surface areas of the two similar cuboids, we need to use the formula for the surface area of a cuboid:

Surface area = 2lw + 2lh + 2wh

For the first cuboid with width 11cm and length 9cm, the surface area would be:

Surface area 1 = 2(11)(9) + 2(11)(9) + 2(9)(11) = 198 + 198 + 198 = 594 cm²

For the second cuboid with width 9cm and length 11cm (corresponding to the first cuboid), the surface area would be:

Surface area 2 = 2(9)(11) + 2(9)(11) + 2(11)(9) = 198 + 198 + 198 = 594 cm²

The ratio of the surface areas of the two similar cuboids is:

Surface area 1 : Surface area 2 = 594 : 594 = 1 : 1

Therefore, the ratio of their surface areas is 1:1.