Question

A box is constructed out of a folded sheet of cardboard. The box will be 12 inches wide, 9 inches long, and 10 inches high. What is the total surface area of the box?

Answer 1

To calculate the total surface area of the box, you have to calculate the area of each side and sum them up to 636 square inches.

Step-by-step explanation:

To find the total surface area of a box, you need to calculate the area of each of the six sides and sum them together. This box has a width (W) of 12 inches, a length (L) of 9 inches, and a height (H) of 10 inches. A box has two sides of each dimension, so you will need to find the area for each pair:

• The two sides that measure 12 inches by 10 inches (WxH), which gives an area of 12 x 10 = 120 square inches each.
• The two sides that measure 9 inches by 10 inches (LxH), which gives an area of 9 x 10 = 90 square inches each.
• The two sides that measure 9 inches by 12 inches (LxW), which gives an area of 9 x 12 = 108 square inches each.

Now, let's sum the areas of each pair:

1. 2 x (12 inches x 10 inches) = 240 square inches
2. 2 x (9 inches x 10 inches) = 180 square inches
3. 2 x (9 inches x 12 inches) = 216 square inches

Add these together to find the total surface area:

240 + 180 + 216 = 636 square inches

Therefore, the total surface area of the box is 636 square inches.

Answer 2

Finding the Total Surface Area of a Cuboid.

A cuboid made up of 3 pairs of surfaces, where each pair are same rectangles.

So,

Total Surface Area (TSA) of a Cuboid = (2 rectangles of dimension 12 inch x 9 inch) + (2 rectangles of dimension 10 inch x 9 inch) + (