Find the surface area of the solid formed by the net. Round your answer to the nearest hundredth.

A net with a rectangle and a circle on each side of the rectangle. The length of the rectangle is 10 inches. The diameter of the circle is 4 inches.

Respuesta :

Answer:

104.27 square inches

Step-by-step explanation:

To find the solid's surface area, we need to find the area of each face and then add them up.

The rectangle has a length of 10 inches and a width of 4 inches (the same as the diameter of the circle). So, the area of the rectangle is:

10 * 4 = 40 square inches

The circle has a diameter of 4 inches, which means the radius is 2 inches. The area of the circle is:

π * r^2 = π * 2^2 = 4π square inches

Since there are two sides of the rectangle and two circles, we need to multiply the area of the rectangle by 2 and the area of the circle by 2:

2 * 40 = 80 square inches (for the two sides of the rectangle)
2 * 4π = 8π square inches (for the two circles)

Finally, we add up the areas:

80 + 8π ≈ 104.27 square inches

Therefore, the surface area of the solid formed by the net is approximately 104.27 square inches.