G greatwhiteshark Full Member Joined May 8, 2005 Messages 279 Jun 30, 2005 #1 The ratio of the lengths of corresponding sides of two similar polygons is 3:7. What is the ratio of their areas?
The ratio of the lengths of corresponding sides of two similar polygons is 3:7. What is the ratio of their areas?
S soroban Elite Member Joined Jan 28, 2005 Messages 5,584 Jun 30, 2005 #2 Hello, Janet! The ratio of the lengths of corresponding sides of two similar polygons is 3:7. What is the ratio of their areas? Click to expand... The ratio of the areas is the <u>squares</u> of the sides. The answer is .3<sup>2</sup>:7<sup>2</sup> .= .9:49 If these were similiar solids (say, pyramids), . . their volumes are in the ratio of the <u>cubes</u> of the sides. The ratio of the volumes would be . 3<sup>3</sup>:7<sup>3</sup> .= .27:343
Hello, Janet! The ratio of the lengths of corresponding sides of two similar polygons is 3:7. What is the ratio of their areas? Click to expand... The ratio of the areas is the <u>squares</u> of the sides. The answer is .3<sup>2</sup>:7<sup>2</sup> .= .9:49 If these were similiar solids (say, pyramids), . . their volumes are in the ratio of the <u>cubes</u> of the sides. The ratio of the volumes would be . 3<sup>3</sup>:7<sup>3</sup> .= .27:343
G greatwhiteshark Full Member Joined May 8, 2005 Messages 279 Jul 1, 2005 #3 WOW! Soroban, I learned something NEW from you today about squares and cubes. Thank you so much for the great hint.
WOW! Soroban, I learned something NEW from you today about squares and cubes. Thank you so much for the great hint.