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Earn +20 ptsQ: How are the volumes of the prisms related?
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Can you have 2 different rectangular prisms with the same Surface area but different volumes?
Yes, you can.
If two similar prisms have volumes of 125 cm3 and 9 cm3 what is the side ratio of the two prisms?
If the sides of two shapes are in the ratio of A : B, then their volumes are in the ratio A3 : B3, thus: ratio of volumes = 125 : 9 ratio of sides = 3√125 : 3√9 ~= 5: 2.08 (~= 2.4 : 1) Have you got the volumes correct? I suspect the second should be 8cm3 not 9cm3, because then the volumes would be 125cm3 and 8cm3 and: ration of volumes = 125 : 8 ratio of sides = 3√125 : 3√8 = 5 : 2 (= 2.5 : 1)
Two similar prisms have heights 4 cm and 10 cm What is the ratio of their volumes?
125/8 or (5/2)3
How are the rectangular prisms in exercises 2-3 related?
5
How do the dimensions and volume of similar rectangular prisms compare?
If the ratio of the dimensions of the larger prism to the smaller prism is r then the ratio of their volumes is r^3.
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