The volume of a rectangular pyramid is 400. If the first dimension is reduced by one-fourth, the second dimension is reduced by half, and the third dimension is tripled, what would the new volume be?

6^2 or 36

step-by-step explanation:

6000n

6×1000n

6×10^3 n

so we need 6n need to be a perfect cube

so n has to be 6^2 so that 6n is 6^3

what i'm saying is if you let n be 6^2 you have 6^3×10^3 or 60^3 which is a perfect cube

is there any other information given for this problem? this is not enough information.

2

step-by-step explanation:

a fish tank full of water and then fish, regardless of the shape of it, has a certain volume.   volume is how much of something fills up the inside of a shape.   if the shape of the tank is a sphere, thr volume formula for a sphere is

we are given that the diameter of the sphere is 14, so that means that the radius is half of that at 7.   filling in to find the volume of the sphere:

do the math on that and you find that the volume of the tank is 1436.755

if there is to be 1 fish for every 693 cubic inches, we must divide the total volume of the tank by 693 to get the number of fish that will fit comfortably.

1436.755/693 = 2.07

since you can't have .07 of a fish, we round down to the nearest whole number to get that 2 fish will be able to swim comfortably in the tank.