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 3456 cubic inches. how many times bigger is the volume of pyramid b than pyramid a? give your answer as a percent. provide an explanation and proof for your answer

answer:

9 times.

900%.

step-by-step explanation:

we have been given that pyramid a is a square pyramid with a base side length of 12 inches and a height of 8 inches.

let us find the volume of pyramid a using volume formula.

, where,

a = base edge of pyramid,

h = height of pyramid.

upon substituting our given values in above formula we will get,

therefore, volume of pyramid a is 384 cubic inches.

now let us compare volume of both pyramids using proportions.

therefore, volume of pyramid b is 9 times volume of pyramid a.

now let us find 3456 is what percent of 384.

therefore, the volume of pyramid b is 900% the volume of pyramid a.

=(12*12*8)/3

=144*8/3

=1152/3

=384

3456/384=9

the volume of pyramid b is 900% larger than the volume of pyramid a.

start with a line segment pq that we will copy. mark a point r that will be one endpoint of the new line segment. set the compasses' point on the point p of the line segment to be copied. adjust the compasses' width to the point q. the compasses' width is now equal to the length of the line segment pq.

step-by-step explanation:

hope it you

step-by-step explanation:

sin(7pi/6 - pi/3)  

= sin(7pi/6 - 2pi/6)  

= sin(5pi/6)  

= sin(pi - pi/6)  

= sin(pi/6)  

= 1/2  

sin 7pi/6 - sin pi/3  

= sin (pi + pi/6) - sin pi/3  

= -sin pi/6 - sin pi/3  

= -1/2 - sqrt(3)/2  

= -(1+sqrt(3))2