Volume of an object is the measure of the space that object occupies. The correct comparison of volume of considered objects is: Volume of A = Volume of B
<h3>How to find the volume of a right rectangular prism?</h3>
Suppose that the right rectangular prism in consideration be having its dimensions as 'a' units, 'b' units, and 'c' units, then its volume is given as:
![V = a\times b \times c \: \rm unit^3](https://tex.z-dn.net/?f=V%20%3D%20%20a%5Ctimes%20b%20%5Ctimes%20c%20%5C%3A%20%5Crm%20unit%5E3)
<h3>How to find the volume of right triangular prism?</h3>
It can be obtained by multiplying the cross sectional triangle's area to the height of the considered triangular prism.
Thus, for the given case, we get:
- Volume of rectangular prism:
Its dimensions are 1.5 units by 1 units by 1.81 units
Thus, ![V_A = 1.5 \times 1 \times 1.81 = 1.5 \times 1.81 = 2.715 \: \rm unit^3](https://tex.z-dn.net/?f=V_A%20%3D%201.5%20%5Ctimes%201%20%5Ctimes%201.81%20%3D%201.5%20%5Ctimes%201.81%20%3D%202.715%20%5C%3A%20%5Crm%20unit%5E3)
- Volume of triangular prism:
Its cross section triangle has base of 2 units and height of 1.5 unit. The height of the prism is equal to the height of the considered rectangular prism = 1.81 units,
Thus,
![V_B = \text{Area of triangular cross-section} \times 1.81 = \dfrac{1}{2} \times 2\times 1.5 \times 1.81 \: \rm unit^3\\V_B = 2.715\: \rm unit^3\\\\](https://tex.z-dn.net/?f=V_B%20%3D%20%5Ctext%7BArea%20of%20triangular%20cross-section%7D%20%5Ctimes%201.81%20%3D%20%5Cdfrac%7B1%7D%7B2%7D%20%5Ctimes%202%5Ctimes%201.5%20%5Ctimes%201.81%20%5C%3A%20%5Crm%20unit%5E3%5C%5CV_B%20%3D%202.715%5C%3A%20%5Crm%20unit%5E3%5C%5C%5C%5C)
Thus, we get
((Volume of A = Volume of B)
Learn more about volume of triangular prism here:
brainly.com/question/8565162