Eva 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 99 centimeters, b is 1515 centimeters, and c is 1212 centimeters. TOY BOX TOY BOX An image is shown. To download tactile, press SHIFT-CONTROL-U for UEB or SHIFT-CONTROL-N for Nemeth. NET OF TOY BOX NET OF TOY BOX 15 cm 9 cm 12 cm An image is shown. To download tactile, press SHIFT-CONTROL-U for UEB or SHIFT-CONTROL-N for Nemeth. What is the surface area, in square centimeters, of the toy box?
To find the surface area of the toy box, we need to calculate the area of each of the six faces and then add them together.
1. The area of the bottom face is 9 cm * 12 cm = 108 square cm
2. The area of the top face is also 9 cm * 12 cm = 108 square cm
3. The area of the front face is 9 cm * 15 cm = 135 square cm
4. The area of the back face is also 9 cm * 15 cm = 135 square cm
5. The area of the left side face is 12 cm * 15 cm = 180 square cm
6. The area of the right side face is also 12 cm * 15 cm = 180 square cm
Adding all these areas together, we get:
108 + 108 + 135 + 135 + 180 + 180 = 846 square cm
Therefore, the surface area of the toy box is 846 square centimeters.