An aquarium in the shape of a right rectangular prism is 12.5 inches long, 6 inches wide and 8 inches high. What is the total amount of water needed, to the nearest cubic inch, to fill 90% of the aquarium with water?

The total amount of water needed is 540 cubic inches.

Step-by-step explanation:

A cubic prism has three dimension. Lenght l, width w and height h.

It's volume is:

In this question:

Dimensions in inches, so the volume will be in cubic inches.

The volume is 600 cubic inches.

What is the total amount of water needed, to the nearest cubic inch, to fill 90% of the aquarium with water?

This is 90% of 600. So

0.9*600 = 540

The total amount of water needed is 540 cubic inches.

there are many solutions.

step-by-step explanation:

step 1: simplify both sides of the equation.

4x+6=4x^2+10x−4

step 2: subtract 4x^2+10x-4 from both sides.

4x+6−(4x^2+10x−4)=4x^2+10x−4−(4x^2+10x−4)

−4x^2−6x+10=0

step 3: factor left side of equation.

−2(2x+5)(x−1)=0

step 4: set factors equal to 0.

x=-5/2 or x=1

do you have the measurements?