The cross section of rectangular prism A measures 1.5 units by 1 unit. The cross section of triangular prism B has a base that measures 2 units and a height of 1.5 units. If the length of each prism is 1.81 units, which statement is true? a)Volume B = (Volume A) b)Volume B = (Volume A) c)Volume B = Volume A d)Volume B = 2(Volume A)

Answer:Volume B = Volume AStep-by-step explanation:[tex]\text{Let}\ H\text{-height of the prisms.}\\\\\text{The formula of a volume of a prism:}\\\\V=BH\\\\B-base\ area\\H-height\\\\\text{We have the base area of the rectangular prism:}\\\\B_1=(1.5)(1)=1.5\ units^2\\\\\text{The base area of the tringular prism:}\\\\B_2=\dfrac{(2)(1.5)}{2}=\dfrac{3}{2}=1.5\ units^2\\\\\text{Therefore the volumes of the prisms are:}\\\\V_A=1.5H,\ V_B=1.5H\Rightarrow V_A=V_B[/tex]