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just olya [345]
3 years ago
6

Prism A is similar to Prism B. The volume of Prism A is 2080 cm³.

Mathematics
1 answer:
velikii [3]3 years ago
7 0
Given data:

Volume of the prism A = 2080 c m^{3}

Let us find the ratio of the volume of prisms given in the diagram:
\frac{ V_{A}}{V_{B}} =  \frac{8^{3}}{4^{3}}
\frac{ V_{A}}{V_{B}} = 8


Since the condition is:
The volume of Prism A = The volume of Prism B
Therefore,
The ratio of their volumes should be 8.
\frac{ V_{A}}{V_{B}} =8

Since Volume of A = 2080 cm^{3}

Plug-in the value, you would get:

\frac{2080}{8}} = V_{B}

Ans: Volume of B = 260 cm^{3}
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