Answer:
Explanation:
Hello There!
A rectangular terrarium is pretty much a rectangular prism
So it says that the volume of the terrarium is filled halfway with cubic inches of dirt and they want us to find how much cubic inches of dirt they used to fill half of the terrarium. So our objective is to find the volume of the terrarium and divide that by two ( because only have of the terrarium was filled.)
The formula for volume of a rectangular prism is
where l = length w = width and h = height
these dimensions are given
w = 9 in
l = 6 in
h = 10 in
so all we have to do is plug in the values
So the volume of the terrarium is 540^3
our final step is to divide by 2
so 270 cubic inches of dirt was used to fill up half of the terrarium