Question

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

What is the volume of Prism B?


260 cm³

520 cm³

1040 cm³

16,640 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 $cm^{3}$

Answer 2

The volume of prism B is $\rm 260 \; cm^3$ and this can be determined by taking the ratio of the volume of both the prism.

Given :

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

To determine the volume of prism B, first determine the ratio of the volume of prism A to the volume of prism B that is:

$\rm \dfrac{V_A}{V_B}=\dfrac{8^3}{4^3}$

$\rm \dfrac{V_A}{V_B}=8$

Now, put the value of the volume of prism A in the above expression.

$\rm \dfrac{2080}{V_B} = 8$

Divide 2080 by 8 in the above equation.

$\rm V_B = \dfrac{2080}{8}$

$\rm V_B = 260\;cm^3$

So, the volume of prism B is $\rm 260 \; cm^3$.

For more information, refer to the link given below:

https://brainly.com/question/15861918