To calculate the surface area of the rectangular prism toy box, we need to find the area of each face and add them all together.
The toy box has six faces:
- 1 top face: a x b = 66 inches x 88 inches = 5808 square inches
- 1 bottom face: a x b = 66 inches x 88 inches = 5808 square inches
- 2 front and back faces: a x c = 66 inches x 55 inches = 3630 square inches (front and back are equal)
- 2 side faces: b x c = 88 inches x 55 inches = 4840 square inches (side faces are equal)
Adding all the areas together:
5808 + 5808 + 3630 + 3630 + 4840 + 4840 = 28756 square inches
So, the surface area of Owen's toy box is 28756 square inches.
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.On the tactile printout of the following graphs, a is 66 inches, b is 88 inches, and c is 55 inches.
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