Prism a is similar to prism b. the volume of prism a is 4320 cm3.

what is the volume of prism b?

a.) 34,560 cm3

b.) 2160 cm3

c.) 1080 cm3

d.) 540 cm3

Alright, lets get started.

Prism A and prism B are similar to each other.

Suppose the dimensions of prism A are : l, w, h

So, the volume of prism A =

The dimensions of prism B are half of prism A.

Means , the dimensions of prism B will be :

So, volume of prism B =

So, volume of prism B =

volume of prism B = volume of prism A

volume of prism B =

volume of prism B : Answer option D

Hope it will help :)

The volume of prism B is 2160cm³

The ratio is written as a fraction. For instance, a/b is the ratio of a to b.

From the given diagram, we can see that prism A is a scaled copy of prism B.

Get the ratio of the length of the bases;

This shows that the length of the sides is reduced by a ratio of 2.

Given the volume of prism A = 4320 cm³, using the same ratio to get the volume of prism B as shown

Hence the volume of prism B is 2160cm³

Learn more on the volume of prisms here: link