Question

kyle has a fish tank that is 16 inches long and 15 inches wide he fills the tank so the water is 12 inches high . then he placed a sand castle decoration in the tank and the water level rose to 13 inches . what is the volume of the sand castle decoration explain how you found your answer

Answer 1

240 cubic inches.

Explanation:

To calculate the volume of the sandcastle decoration in the fish tank, we can use the formula:

Volume of the decoration = Total volume of water after adding the decoration - Volume of water before adding the decoration

The volume of water before adding the decoration is the volume of the rectangular prism formed by the fish tank, which is:

Volume of water before = Length x Width x Height

= 16 x 15 x 12

= 2,880 cubic inches

After Kyle added the sandcastle decoration, the water level rose to 13 inches. This means the volume of water in the tank increased by the volume of the decoration. The new volume of water in the tank is:

Volume of water after = Length x Width x Height

= 16 x 15 x 13

= 3,120 cubic inches

Therefore, the volume of the sandcastle decoration is:Volume of decoration = Volume of water after - Volume of water before

= 3,120 - 2,880

= 240 cubic inches

Therefore, the volume of the sandcastle decoration in the fish tank is 240 cubic inches.