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Two similar prisms have heights 3 and 7. what are the ratios f their surface areas and volumes?
In order to determine the ratio of the surface area and volume, you must first determine the ratio between the given heights. In order to do this you must divide 7 by 3, which gives you 2 and 1/3. Using this ratio, the surface area would increase by squaring 2 and 1/3, which is about 5.4444. You would square the ratio because in surface area you are using two measurements (the base and the height). The volume would increase by cubing 2 and 1/3, which is about 12.7. You would cube the volume ratio because in volume you are using three measurements (the base, height, and width). Hope this helps.
What else can I help you with?
Two similar prisms have heights 4 cm and 10 cm What is the ratio of their volumes?
125/8 or (5/2)3
Is it always true that two prisms with congruent bases are similar?
No, it is not always true that two prisms with congruent bases are similar. For two prisms to be similar, their corresponding dimensions must be in proportion, not just their bases. While congruent bases indicate that the shapes of the bases are the same, the heights or scaling of the prisms can differ, affecting their similarity. Thus, two prisms can have congruent bases but still not be similar if their heights or other dimensions differ.
Can you have 2 different rectangular prisms with the same Surface area but different volumes?
Yes, you can.
How can two rectangular prisms have the same surface area but different volumes?
Yes, they can. They can also have the same surface area, but different volume.
How are the bases of a cylinder and a prism similar?
The cylinder and the prisms bases are similar because its a flat surface.
How do you calculate Triangular prisms?
The answer to the question depends on whether you want to calculate the surface areas or the volumes, or some other measure.
If the measure of two corresponding sides of two similar prisms is 4 meters and 5 meters what is the ratio of the surface areas of the prisms?
16/25
How are the volumes of the prisms related?
The volumes of prisms are calculated using the formula ( V = B \times h ), where ( V ) is the volume, ( B ) is the area of the base, and ( h ) is the height of the prism. This means that the volume is directly proportional to both the area of the base and the height. Different prisms with the same base area and height will have equal volumes, while variations in either dimension will result in different volumes. Thus, the relationship between the volumes of prisms depends on their base area and height.
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.
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)
Are two prisms always sometimes or never similar?
Two prisms are similar if their corresponding faces are proportional and their corresponding angles are equal. This means that for two prisms to be similar, they must have the same shape but can differ in size. Therefore, prisms can be sometimes similar, depending on their dimensions and angles.
Can two prisms have the same volume with different heights?
It depends, can you change the width and the length??
