Apply the technique of using nets to find the surface area of a turtle's 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?

Answer 1

To find the surface area of the turtle's tank, first you need to identify the different sides of the tank and calculate the area of each side using nets.

The tank has 6 sides:
- 2 sides that measure 33.93 inches long by 17.69 inches tall
- 2 sides that measure 15.81 inches wide by 17.69 inches tall
- 1 bottom that measure 33.93 inches long by 15.81 inches wide
- 1 top that we are assuming is absent

To find the surface area of each side:
- Side 1 and Side 2: (33.93 inches x 17.69 inches) x 2 = 1196.52 square inches
- Side 3 and Side 4: (15.81 inches x 17.69 inches) x 2 = 560.88 square inches
- Bottom: 33.93 inches x 15.81 inches = 536.75 square inches

To find the total surface area of the tank without the top cover:
1196.52 + 560.88 + 536.75 = 2294.15 square inches

Therefore, the surface area of the tank is 2294.15 square inches.