Pyramid A is a square pyramid with a base side length of 18 inches and a height of 9 inches. Pyramid B has a volume of 3,136 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 to receive full credit

The volume of pyramid B is 3.22 time bigger than the pyramid B

Step-by-step explanation:

Pyramid A:

Base length = 18 in.

Height = 9 in.

Volume = (1/3) (18 x 18) 9

= (1/3) (324) 9

=  972 cubic inches

Volume of pyramid B = 3136 cubic inches

3136/972 =  3.22

The volume of pyramid B is 3.22 time bigger than the pyramid A

Percentage = 322% bigger than the pyramid A

x + y = 90 5x – 10y = 90 90 – 10y = 5x 90 + 10y = 5x

step-by-step explanation:

last month maria hiked the 5-mile mountain trail a number of times and she hiked the 10-mile canal trail several times. let x represent the number of times she hiked the 5-mile trail, and let y represent the number of times she hiked the 10-mile trail. if she hiked a total of 90 miles, which equation can be used to find the number of times maria hiked each trail? x + y = 90 5x – 10y = 90 90 – 10y = 5x 90 + 10y = 5x