Question

Pamela wants to buy a suitcase whose dimensions are 1/2 x those of her 28 x 16 x 8 in suitcase what is the ratio of the volumes related to the ratio of corresponding Dimensions what is the ratio of the volumes

Answer 1

Dimensions of her fist suitcase:28 x 16 x 8 inThe volume:
V 1 = L x W x H = 3,584 in³Dimensions of a new suitcase:14 x 8 x 4V 2 = 448 in³V 1 : V 2 = 3,584 : 448 = ( divide both by 448 ) = 8 : 1Answer:the ratio of the volumes is 8 : 1, or V 1 = 8 V 2 ( V 2 = 1/8 V 1 ).