Marie is using a rectangular box to ship a framed painting to a friend. The box is 20 inches wide, 24 inches long and 6 inches deep. What is the surface area of the box?
think of the six faces:
top and bottom
two pairs of rectangular sides
480 square inches
To find the surface area of the rectangular box, we need to calculate the area of each side and add them together.
The box has six sides: top, bottom, front, back, left, and right.
The top and bottom sides have the same dimensions: 20 inches wide and 24 inches long. So, the area of each of these sides is 20 inches multiplied by 24 inches = 480 square inches.
The front and back sides have the dimensions of 20 inches wide and 6 inches deep. So, the area of each of these sides is 20 inches multiplied by 6 inches = 120 square inches.
The left and right sides have the dimensions of 24 inches long and 6 inches deep. So, the area of each of these sides is 24 inches multiplied by 6 inches = 144 square inches.
Now, let's calculate the surface area:
Top + Bottom + Front + Back + Left + Right = 480 square inches + 480 square inches + 120 square inches + 120 square inches + 144 square inches + 144 square inches = 1388 square inches.
Therefore, the surface area of the box is 1388 square inches.