The volume of right rectangular prisms and oblique rectangular prisms are 36x that are equal.
It deals with the size of geometry, region, and density of the different forms both 2D and 3D.
Volume is given by
[tex]\rm volume = base \ area * height[/tex]
If the prisms are of the same height (x). Then
A right rectangular prism has base dimensions of 3 inches by 12 inches. Then the volume (V₁) will be
[tex]\rm V_1 = 3*12*x\\\\V_1 = 36x[/tex]
An oblique rectangular prism has base dimensions of 4 inches by 9 inches. Then the volume (V₁) will be
[tex]\rm V_2 = 4*9*x\\\\V_2 = 36x[/tex]
A right rectangular prism has base dimensions of 3 inches by 12 inches. Then the volume (V₁) will be
[tex]\rm V_3 = 3*12*x\\\\V_3 = 36x[/tex]
An oblique rectangular prism has base dimensions of 9 inches by 4 inches. Then the volume (V₁) will be
[tex]\rm V_4 = 9*4*x\\\\V_4 = 36x[/tex]
The volume of right rectangular prisms and oblique rectangular prisms are 36x that are equal.
More about the geometry link is given below.
https://brainly.com/question/7558603
Answer:
B: The volumes are equal, because the heights are equal and the horizontal cross-sectional areas at every level are also equal.
Step-by-step explanation:
