Owen built a toy box in the shape of a rectangular prism with an open top. The diagram below shows the toy box and a net of the toy box.
5 in
6 in
8 in
_______6 in______
| |
5 in | | 5 in
|____8 in____|
Net of the toy box:
________6_________
| | | |
| | | | 8
|___|______________| |
5 5
To calculate the surface area of the toy box, we need to find the area of each of the six faces and then add them up.
1. Front face: 6 inches x 5 inches = 30 square inches
2. Back face: 6 inches x 5 inches = 30 square inches
3. Left face: 5 inches x 8 inches = 40 square inches
4. Right face: 5 inches x 8 inches = 40 square inches
5. Top face: 6 inches x 8 inches = 48 square inches
6. Bottom face: 6 inches x 8 inches = 48 square inches
Adding all the areas together:
30 + 30 + 40 + 40 + 48 + 48 = 236 square inches
Therefore, the surface area of the toy box is 236 square inches.