Final answer:
To find the volume of each prism, we use the cross-sectional area times length. Both the rectangular and triangular prisms have the same volume, 173.28 cubic units, when calculated using their respective formulas. Thus, the volumes are equal, making the correct answer a) Volume A = Volume B.
Step-by-step explanation:
The student is asking about the comparison of volumes between two prisms; one rectangular (Prism A) and one triangular (Prism B). To find the volume of each prism, we need to use the formula for volume which is the cross-sectional area times the length for prisms.
Volume of a Rectangular Prism (Volume A) is calculated by multiplying the area of the base by the length of the prism. Therefore, Volume A = base area x length = 6 units x 4 units x 7.22 units = 173.28 cubic units.
Volume of a Triangular Prism (Volume B) is calculated by multiplying the area of the triangular base by the length of the prism. The area of a triangle is ½ x base x height, so Volume B = ½ x 8 units x 6 units x 7.22 units = 173.28 cubic units.
Comparing the volumes, we see that Volume A is equal to Volume B. Hence, the correct answer is a) Volume A = Volume B.