Question

A local movie theater sells two bag sizes of popcorn. Both bags are in the shape of a rectangular prism. Bag A measures 4" long, 3.5" wide and 6" tall. Bag B holds twice as much popcorn as Bag A. If Bag B is 8" long and 3" wide, how tall is Bag B?

Answer 1

Answer:

the height of bag b is 7

Step-by-step explanation:

first, find the volume of bag a.

volume formula:

length * width * height = volume

length = 4

width = 3.5

height = 6

substitute the values into the formula

4 * 3.5 * 6 = volume

84 = volume

the volume of bag A is 84

next, find the height of bag b

volume formula:

length * width * height.

length = 8

width = 3

volume = 168 (84 * 2)

8 * 3 * h = 168

24h = 168

24h/24 = 168/24

h = 168/24

h = 7

the height of bag B is 7