Question

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

Answer 1

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 $cm^{3}$