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