Pyramid A is a square pyramid with a base side length of 12 inches and a height of 8 inches. Pyramid B has a volume of 3,456 cubic inches. How many times bigger is the volume of pyramid B than pyramid A? Give your answer as a percentage. Provide an explanation and proof for your answer to receive full credit.

Find the volume of the first pyramid:

Volume = s^2 x h/3

Volume = 12^2 x 8/3

Volume = 144 x 8/3

Volume = 384 cubic inches.

Divide the larger volume by the smaller volume:

3456/384 = 9

Multiply by 100 to get the percentage:

9 x 100 = 900%

Proof: multiply the volume of pyramid A by the percentage:

384 x 900% = 384 x 9 = 3,456 which is the volume of pyramid B.

the answer is mp

step-by-step explanation:

hello from mrbilldoesmath!

answer:   x (x+6)^2, choice b

discussion:

factor x out of the equation:

x^3 + 12x^2 + 36x = x (x^2 + 12x + 36).

note that 6+6 = 12 and 6*6 = 36 so the above factors into:

x (x+6)^2

which is choice b

you,

mrb