Aright rectangular prism has base dimensions of 3 inches by 12 inches and a height of 5 inches. an oblique rectangular prism has base dimensions of 4 inches by 9 inches and a height of 5 inches. are the volumes the same?

a. yes, because the heights are equal and the cross-sectional areas at every level parallel to the bases are also equal.

b. yes, because the figures are congruent.

c. no, because the cross-sectional areas are not the same.

d. no, because only the bases have the same area, not every cross section at every level parallel to the bases

given that the height of the right rectangular prism and the oblique triangular prism are both 5 inches and both prisms have the same base area ( 4*9 =36 & 3*12 =36) we can conclude that:
cross-sections of the prisms at the same height have the same area

 so the answer would be A

A. Yes, because the heights are equal and the cross-sectional areas at every level parallel to the bases are also equal.

Step-by-step explanation:

it is contrapositive

i could not see the question too well so check yourself again too . this is because i want you to get it correct.

5=812a+9+3

step 1: simplify both sides of the equation.

5=812a+9+3

5=(812a)+(9+3)(combine like terms)

5=812a+12

5=812a+12

step 2: flip the equation.

812a+12=5

step 3: subtract 12 from both sides.

812a+12−12=5−12

812a=−7

step 4: divide both sides by 812.

812a /812 = -7/812

a= -1/116

so the answer is

a=   -1/116