A right rectangular prism has base dimensions of 3 inches by 12 inches and a height of 5 inches. An oblique rectangular prism ha
s base dimensions of 4 inches by 9 inches and a height of 5 inches.Is it possible to have all the volumes would be 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.
We want . We can subtract 2 from both sides of this equation to get . We can factor this to get that . When the product of two numbers is equal to zero, one of the numbers must be equal to zero. This means that either a + 2 = 0, in which case a = -2, or a + 5 = 0, in which case a = -5.
