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astraxan [27]
3 years ago
10

Rosario draws the right triangular prism shown here and calculates the volume. She then draws a second right triangular prism in

which the dimensions are tripled. What is the relationship between the volumes of the two prisms?
Mathematics
2 answers:
Tju [1.3M]3 years ago
5 0
The volume of the original prism is given by:
 V1 = (1/2) * (b) * (h) * (H)
 Where,
 b: base of the triangle
 h: height of the triangle
 H: prism height
 The volume of the prism with new dimensions is:
 V2 = (1/2) * (3b) * (3h) * (3H)
 Rewriting:
 V2 = (3 * 3 * 3) * (1/2) * (b) * (h) * (H)
 V2 = (27) * (1/2) * (b) * (h) * (H)
 V2 = (27) * V1
 Answer:
 
The relationship between the volumes of the two prisms is:
 
V2 = (27) * V1
exis [7]3 years ago
4 0

The relationship between the volumes of the two prisms is:

V2 = (27) * V1

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