an aquarium is in the shape of a right rectangular prism. each side of the aquarium is a rectangle that is 10 in wide and 8 in high. when the aquarium is tilted, the water in it just cover an 8 in by 10 in end, but only three-fourths of the rectangular bottom. find the depth to the water when the aquarius is level on the table

To find the depth of the water when the aquarium is level on the table, we'll need to determine the missing dimension of the rectangular bottom. Let's go step by step.

1. Start by visualizing the aquarium. It is in the shape of a right rectangular prism, with each side being a rectangle that is 10 inches wide and 8 inches high.

2. When you tilt the aquarium, the water covers an 8 in by 10 in end. This means that the missing dimension of the rectangular bottom is 8 inches.

3. Since the water only covers three-fourths of the rectangular bottom, we need to find the remaining one-fourth to determine the depth of the water. Since the bottom is a rectangle with dimensions 10 in by 8 in, the one-fourth part can be calculated by dividing the area of the rectangle by 4.

Area of the rectangular bottom = 10 in * 8 in = 80 square inches
One-fourth of the rectangular bottom = 80 square inches / 4 = 20 square inches

4. The depth of the water will be the missing dimension (8 inches) plus the calculated one-fourth part (20 square inches). So, the depth can be found by dividing the one-fourth part by the width of the rectangular bottom, which is 10 inches.

Depth of the water = one-fourth part / width of the rectangular bottom = 20 square inches / 10 inches = 2 inches

Therefore, the depth of the water when the aquarium is level on the table is 2 inches.

6 inches deep