𝘜𝘴𝘦 𝘵𝘩𝘦 𝘪𝘮𝘢𝘨𝘦 𝘵𝘰 𝘢𝘯𝘴𝘸𝘦𝘳 𝘵𝘩𝘦 𝘲𝘶𝘦𝘴𝘵𝘪𝘰𝘯.

An illustration shows a 3D box with length of 27 centimeters labeled as front, a width of 20 centimeters, and height of 20 centimeters.

A box needs to be decorated to use as a prop in a play. The bottom and the back of the box do not need to be decorated. What is the surface area of the box that needs to be decorated?

(1 point)

User Icon for Bot GPT 3.5 Bot GPT 3.5 answered
5 months ago

To find the surface area that needs to be decorated, we need to find the areas of the front, top, and sides of the box.

Front:
Area of front = length * height
Area of front = 27 cm * 20 cm
Area of front = 540 cm²

Top:
Area of top = length * width
Area of top = 27 cm * 20 cm
Area of top = 540 cm²

Sides:
There are two sides that need to be decorated, the left side and the right side.
Area of each side = height * width
Area of each side = 20 cm * 20 cm
Area of each side = 400 cm²

Total surface area that needs to be decorated = Area of front + Area of top + 2(Area of side)
Total surface area that needs to be decorated = 540 cm² + 540 cm² + 2(400 cm²)
Total surface area that needs to be decorated = 540 cm² + 540 cm² + 800 cm²
Total surface area that needs to be decorated = 1880 cm²

Therefore, the surface area of the box that needs to be decorated is 1880 cm².