Based on the calculations, the surface area of the box shown is equal to 372
.
In Mathematics and Geometry, the surface area of a rectangular prism can be calculated and determined by using this mathematical equation or formula:
SA = 2(LH + LW + WH)
Where:
- SA represents the surface area of a rectangular prism.
- L represents the length of a rectangular prism.
- W represents the width of a rectangular prism.
- H represents the height of a rectangular prism.
By substituting the given side lengths into the formula for the surface area of a rectangular prism, we have the following;
SA = 2(3 × 12 + 12 × 10 + 10 × 3)
SA = 2(36 + 120 + 30)
SA = 2(186)
SA = 372 square inches.