A mermaid has a terrarium that measures 42 inches × 10 inches × 9 inches. She also has a box that measures 3 inches × 3 inches × 3 inches. Every minute, the mermaid fills the box with sand
from her backyard and then pours the sand into the terrarium. How many minutes does it take the
mermaid to fill three-quarters of the terrarium with sand?

105 minutes

Step-by-step explanation:

The volume of the terrarium is ...

V = LWH  

V = (42 in)(10 in)(9 in) = 3780 in³

The volume of a box is ...

 V = (3 in)(3 in)(3 in) = 27 in³

Then the number of boxes it takes to fill the terrarium is ...

  (3780 in³)/(27 in³/box) = 140 boxes

The mermaid wants to fill it 3/4 full, so only needs 3/4 this number of boxes. That is 105 boxes. At the rate of 1 per minute, ...

 it will take 105 minutes to fill 3/4 of the terrarium

It will take her 1 hour and 45 min

Step-by-step explanation:

relating to or denoting a system of numbers and arithmetic based on the number ten, tenth parts, and powers of ten.

step-by-step explanation:

false

step-by-step explanation:

rulers and compasses arent required in order to bisect an angle because when bisecting angles, you're making a "half circle" and considering in order to bisect an angle it wouldn't be straight, you wouldn't need either of the two