Brian has a fish tank that is the size shown. He fills it half full of water.
The fish tank is a rectangular prism that is 72 inches long, 6 inches wide, and 8 inches tall.
Question
How much water does Brian put in the fish tank? Enter the answer in the box.
216 cubic inches of water.
To find the amount of water Brian puts in the fish tank, we need to calculate the volume of the tank and then divide it by 2 since he fills it half full.
The volume of a rectangular prism is calculated by multiplying its length, width, and height.
Volume = Length x Width x Height
In this case, the length is 72 inches, the width is 6 inches, and the height is 8 inches.
Volume = 72 inches x 6 inches x 8 inches
Calculating this:
Volume = 3456 cubic inches
Since Brian fills the tank half full, we need to divide the volume by 2.
Water put in the tank = Volume / 2
Water put in the tank = 3456 cubic inches / 2
Calculating this:
Water put in the tank = 1728 cubic inches
Therefore, Brian puts 1728 cubic inches of water in the fish tank.
To find out how much water Brian puts in the fish tank, we need to calculate the volume of the tank and then multiply it by half since he fills it half full.
The volume of a rectangular prism can be found by multiplying its length, width, and height together.
In this case:
Length = 72 inches
Width = 6 inches
Height = 8 inches
So, the volume of the fish tank is:
Volume = Length x Width x Height
Volume = 72 inches x 6 inches x 8 inches
Multiplying these numbers together, we get:
Volume = 3456 cubic inches
Since Brian fills the tank half full, we need to multiply the volume by 0.5 (or divide it by 2) to find the amount of water he puts in.
Amount of water = Volume x 0.5
Amount of water = 3456 cubic inches x 0.5
Calculating this, we get:
Amount of water = 1728 cubic inches.
Therefore, Brian puts 1728 cubic inches of water in the fish tank.