A right rectangular prism has base dimensions of 3 inches by 12 inches and a height of 5 inches. An obligue 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

answer: check all that apply, where the options?

step-by-step explanation:

hello from mrbilldoesmath!

answer:

(7 x + 6 y) (49 x^2 - 42 x y + 36 y^2)

discussion:

the trick is to recognize that 343 = 7^3 and 216 = 6^3 and, in general,

a^3 + b^3 =   (a + b) (a^2 - a b + b^2).

in our case

343x^3+216y^3   =   (7x)^3 + (6y)^3

so take a = 7x and b = 6y in the above equation to get the answer.

you,

mrb

chemists are often responsible for designing a chemical reaction and analyzing the products obtained from it. one significant part of designing a chemical reaction is determining the amount of each reactant that is needed and the amount of each product that will be produced. in order to do so, chemists use stoichiometry, the quantitative relationships between reactants and products.