Question
Caleb 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. What is the surface area in square centimeters of the toy box? 7 cm 6 cm 9 cm
Answers
GPT 3.5
To find the surface area of the toy box, we need to add up the areas of all six faces.
Looking at the net of the toy box, we can see that the dimensions of the rectangular prism are:
- Length: 3 cm
- Width: 2 cm
- Height: 4 cm
The toy box has 2 faces that are 3 cm by 2 cm (the front and back), 2 faces that are 3 cm by 4 cm (the sides), and 2 faces that are 2 cm by 4 cm (the top and bottom).
Calculating the area of each face:
Front and back: 3 cm * 2 cm = 6 square cm each
Sides: 3 cm * 4 cm = 12 square cm each
Top and bottom: 2 cm * 4 cm = 8 square cm each
Adding up the areas of all six faces:
6 + 6 + 12 + 12 + 8 + 8 = 52 square cm
Therefore, the surface area of the toy box is 52 square centimeters.
Looking at the net of the toy box, we can see that the dimensions of the rectangular prism are:
- Length: 3 cm
- Width: 2 cm
- Height: 4 cm
The toy box has 2 faces that are 3 cm by 2 cm (the front and back), 2 faces that are 3 cm by 4 cm (the sides), and 2 faces that are 2 cm by 4 cm (the top and bottom).
Calculating the area of each face:
Front and back: 3 cm * 2 cm = 6 square cm each
Sides: 3 cm * 4 cm = 12 square cm each
Top and bottom: 2 cm * 4 cm = 8 square cm each
Adding up the areas of all six faces:
6 + 6 + 12 + 12 + 8 + 8 = 52 square cm
Therefore, the surface area of the toy box is 52 square centimeters.