Tyler enjoys the fish so much that after his birthday his family decides to take him to a famous aquarium a tank at the aquarium is similar to his tank with the scale factor of 8 How many times greater is the volume of the tank at the aquarium than the volume of Tyler tank

Respuesta :

The aquarium tank volume is greater by a factor of 8³ = 512.

Tyler enjoys the fish so much that after his birthday his family decides to take him to a famous aquarium a tank at the aquarium is similar to his tank with the scale factor of 8

scale factor is 8

For example if we have a tank of length = 4, width = 5 and height =3

Volume of tank = 4*5* 3= 60

Suppose scale factor = 8 then we multiply each with scale factor 8

So length = 32 , width = 40 and height = 24

Then volume = 32 * 40 * 24 = 30720

From this we can see that volume is increased from 60 t0 30720

60 * [tex] 8^3 [/tex] = 30720

So [tex] 8^3 [/tex]= 512 times greater is the volume of the tank at the aquarium than the volume of Tyler tank