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A computer's flat screen monitor was delivered in a box that was 8 inches deep, 40 inches wide, and 30 inches tall. What is the surface area of the box in square feet? Round to the nearest square foot. (Hint: 1 square foot = 144 square inches)

User Norepro
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Final answer:

The surface area of the box is 24 square feet.

Step-by-step explanation:

To calculate the surface area of the box for the flat screen monitor, we will need to determine the area of each face on the box and then add them all together.

The box has six faces: two that are 8 inches by 40 inches (top and bottom), two that are 30 inches by 40 inches (front and back), and two that are 8 inches by 30 inches (sides).

The area of the top and bottom together is 2*(8*40), which equals 640 square inches. The area of the front and back together is 2*(30*40), which equals 2400 square inches. Lastly, the area of the two sides is also 2*(8*30), which equals 480 square inches.

Adding these three values together, the total surface area is 640 + 2400 + 480 = 3520 square inches. However, because we need the answer in square feet and since 1 square foot equals 144 square inches, we convert the surface area to square feet by dividing the total by 144. Hence, 3520 / 144 = 24.4 square feet. When rounded to the nearest whole number, the surface area is approximately 24 square feet.

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User StephenTG
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