+458 A pet shop had 8 identical fish tanks in the shape of rectangular prisms. The width and height of each tank was (x - 7) inches and the length was 8 inches more than its width. The expression below shows the maximum amount of water which all the tanks together can hold:
8(x + 1)(x - 7)2
What does the factor (x + 1)(x – 7)2 represent?
The volume of each tank
The volume of all the tanks
The surface area of each tank
The total surface area of all the tanks
+3454 I'm going to say, "the volume of each tank."
I say this because it said that the width and height of these tanks are (x-7)
So together the width and height can be expressed as (x-7)2
The length is 8 inches more than the width/height, so this can be expressed as (x+1)
The 8 on the outside is just telling you to multiply the width/height/length by 8 to get the volume of all 8 tanks.
Also, you don't get surface area when you multiply width/height/length, so that rules out the other two options.
+3454 I'm going to say, "the volume of each tank."
I say this because it said that the width and height of these tanks are (x-7)
So together the width and height can be expressed as (x-7)2
The length is 8 inches more than the width/height, so this can be expressed as (x+1)
The 8 on the outside is just telling you to multiply the width/height/length by 8 to get the volume of all 8 tanks.
Also, you don't get surface area when you multiply width/height/length, so that rules out the other two options.
