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)
Responses

1,880 cm2
1,880 cm squared

1,080 cm
1,080 cm

67 cm2
67 cm squared

2,960 cm2

7 answers

The surface area of a box includes the top, bottom, front, back, left side, and right side. However, in this case, the bottom and back of the box do not need to be decorated.

To find the surface area of the box that needs to be decorated, we need to find the area of the top, front, left side, and right side.

If we assume that all sides of the box are rectangular, then the area of the top, front, left side, and right side would be the same.

Let's say the dimensions of the box are:

Length: L
Width: W
Height: H

Then, the area of the top would be L x W, the front and back would be H x W, and the left and right sides would be H x L.

So, the surface area of the box that needs to be decorated would be:

Area of the top + Area of the front + Area of the left side + Area of the right side
= (L x W) + (H x W) + (H x L) + (H x L)
= 2LW + 2HL

Therefore, the surface area of the box that needs to be decorated is 2LW + 2HL.

Without any specific dimensions provided for the box, it is not possible to give an exact value for the surface area that needs to be decorated.
The length is 27 cm, the width is 20 cm, the height is 20 cm.
Given the dimensions of the box:

Length (L) = 27 cm
Width (W) = 20 cm
Height (H) = 20 cm

To find the surface area that needs to be decorated, we will calculate the area of the top, front, left side, and right side.

Area of the top = Length x Width = 27 cm x 20 cm = 540 cm^2

Area of the front = Height x Width = 20 cm x 20 cm = 400 cm^2

Area of the left side = Height x Length = 20 cm x 27 cm = 540 cm^2

Area of the right side = Height x Length = 20 cm x 27 cm = 540 cm^2

Now, add up the areas:
Total surface area that needs to be decorated = Area of the top + Area of the front + Area of the left side + Area of the right side
= 540 cm^2 + 400 cm^2 + 540 cm^2 + 540 cm^2
= 2,020 cm^2

Therefore, the surface area of the box that needs to be decorated is 2,020 cm^2.
you sure. i got the answer of 1080
Apologies for the mistake. Let's recalculate.

Given the dimensions of the box:

Length (L) = 27 cm
Width (W) = 20 cm
Height (H) = 20 cm

To find the surface area that needs to be decorated, we will calculate the area of the top, front, left side, and right side.

Area of the top = Length x Width = 27 cm x 20 cm = 540 cm^2

Area of the front = Height x Width = 20 cm x 20 cm = 400 cm^2

Area of the left side = Height x Length = 20 cm x 27 cm = 540 cm^2

Area of the right side = Height x Length = 20 cm x 27 cm = 540 cm^2

Now, add up the areas:
Total surface area that needs to be decorated = Area of the top + Area of the front + Area of the left side + Area of the right side
= 540 cm^2 + 400 cm^2 + 540 cm^2 + 540 cm^2
= 2,020 cm^2

Therefore, the surface area of the box that needs to be decorated is 2,020 cm^2.
that is not one of the answers
Apologies for the confusion. Let's go through the calculation again.

Given the dimensions of the box:

Length (L) = 27 cm
Width (W) = 20 cm
Height (H) = 20 cm

To find the surface area that needs to be decorated, we will calculate the area of the top, front, left side, and right side.

Area of the top = Length x Width = 27 cm x 20 cm = 540 cm^2

Area of the front = Height x Width = 20 cm x 20 cm = 400 cm^2

Area of the left side = Height x Length = 20 cm x 27 cm = 540 cm^2

Area of the right side = Height x Length = 20 cm x 27 cm = 540 cm^2

Now, let's calculate the surface area that needs to be decorated:

Surface area that needs to be decorated = Area of the top + Area of the front + Area of the left side + Area of the right side
= 540 cm^2 + 400 cm^2 + 540 cm^2 + 540 cm^2
= 2,020 cm^2

Apologies for the mistake in my previous response. The correct surface area that needs to be decorated for the given dimensions is indeed 2,020 cm^2.