Prism A is similar to Prism B. The volume of Prism A is 2080 cm³.What is the volume of Prism B?260 cm³520 cm³1040 cm³16,640 cm³

Given data:

Volume of the prism A = 2080 [tex]c m^{3} [/tex]

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


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

Since Volume of A = 2080 [tex]cm^{3} [/tex]

Plug-in the value, you would get:

[tex] \frac{2080}{8}} = V_{B}[/tex]

Ans: Volume of B = 260 [tex]cm^{3} [/tex]