𝘜𝘴𝘦 𝘵𝘩𝘦 𝘪𝘮𝘢𝘨𝘦 𝘵𝘰 𝘢𝘯𝘴𝘸𝘦𝘳 𝘵𝘩𝘦 𝘲𝘶𝘦𝘴𝘵𝘪𝘰𝘯.

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)

Answer 1

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.