To find the surface area of the turtle's tank without including the top cover, we first need to create a net of the tank. The tank consists of three rectangles for the front, back, and bottom, and two rectangles for the sides. We will not include the rectangle for the top cover.
Front and back rectangles:
Dimensions: Length = 33.93 in, Height = 17.69 in
Area = Length x Height
Area = 33.93 in x 17.69 in = 600.38 square inches
Side rectangles:
Dimensions: Width = 15.81 in, Height = 17.69 in
Area = Width x Height
Area = 15.81 in x 17.69 in = 280.04 square inches
Bottom rectangle:
Dimensions: Length = 33.93 in, Width = 15.81 in
Area = Length x Width
Area = 33.93 in x 15.81 in = 536.49 square inches
Now, add the areas of the front, back, sides, and bottom rectangles to find the total surface area of the tank without the top cover:
Total Surface Area = 2(Front/Back) + 2(Sides) + Bottom
Total Surface Area = 2(600.38) + 2(280.04) + 536.49
Total Surface Area = 1200.76 + 560.08 + 536.49
Total Surface Area = 2297.33 square inches
Therefore, the surface area of the turtle's tank without the top cover is approximately 2297.33 square inches.
Apply the technique of using nets to find the surface area of a turtle's trunk which measures 33.93 in Long by 15.81 in wide by 17.69 in tall what is the surface area of the tank if the tank does not include the top cover around the answer to the nearest hundredth
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1 answer