what is the surface area of a rectangle that is 10 inches long 9 inchs wide 7 inchs tall

To calculate the surface area of a rectangular shape, you need to find the areas of all six faces and then sum them up.

The front face and back face:
Length x Height = 10 inches x 7 inches = 70 square inches (each face)
Top face and bottom face:
Width x Height = 9 inches x 7 inches = 63 square inches (each face)
Left side and right side:
Length x Width = 10 inches x 9 inches = 90 square inches (each face)

Adding up the areas of all six faces:
70 + 70 + 63 + 63 + 90 + 90 = 446 square inches

Therefore, the surface area of the rectangular shape is 446 square inches.