Multiple choice

A rectangular metal box measures 12 centimeters long, 8 centimeters wide, and 5 centimeters high. If the box is open at the top, which of the following is its surface area, in square centimeters?

  1. 260

  2. 288

  3. 296

  4. 320

  5. 340
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C Correct answer
Explanation

Surface area of open box = (L*W) + 2(L*H) + 2(W*H) = (12*8) + 2(12*5) + 2(8*5) = 96 + 120 + 80 = 296.

AI explanation

The surface area of an open box is calculated by adding the area of the base to the area of the four walls. The base area is 12 × 8 = 96 square centimeters, and the area of the four walls is 2 × (12 + 8) × 5 = 200 square centimeters. Adding these gives a total surface area of 96 + 200 = 296 square centimeters.

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