Apply the technique of using nets to find the surface area of a turtles tank which measures 33.93 inches long by 15.81 inches wide by 17.69 inches tall. What is the surface area of the tank if the tank does not include a top cover round the answer to the nearest hundredth.

Answer 1

To find the surface area of the tank, we need to find the area of each of the six faces of the rectangular prism that makes up the tank.

First, we need to find the area of the two rectangular faces on the front and back of the tank. These faces have dimensions of 33.93 inches by 17.69 inches. The area of each of these faces is:
33.93 inches * 17.69 inches = 599.3617 square inches

Next, we need to find the area of the two rectangular faces on the sides of the tank. These faces have dimensions of 15.81 inches by 17.69 inches. The area of each of these faces is:
15.81 inches * 17.69 inches = 280.1889 square inches

Finally, we need to find the area of the top and bottom faces of the tank. These faces have dimensions of 33.93 inches by 15.81 inches. The area of each of these faces is:
33.93 inches * 15.81 inches = 536.9493 square inches

Now, we can find the total surface area of the tank by adding all of the areas of the faces together:
2(599.3617) + 2(280.1889) + 2(536.9493) = 1198.7234 + 560.3778 + 1073.8986 = 2833.9998 square inches

Therefore, the surface area of the tank without a top cover is approximately 2833.99 square inches.