Question

Use the image to answer the question.

An illustration shows a rectangular prism with length 10 inches, width 9 inches, and height 3 inches. The top, front, and right faces are visible. The edges that are not visible are represented by dashed lines.

What is the surface area of the rectangular prism?

1$$ square inches

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Answer 1

[AI-generated answer — Bot GPT 3.5]

The surface area of a rectangular prism is calculated by adding up the areas of all six faces of the prism.

The top and bottom faces each have an area of 10 inches * 9 inches = 90 square inches.
The front and back faces each have an area of 10 inches * 3 inches = 30 square inches.
The left and right faces each have an area of 9 inches * 3 inches = 27 square inches.

Adding up all these areas gives a total surface area of 2(90) + 2(30) + 2(27) = 180 + 60 + 54 = 294 square inches.

Therefore, the surface area of the rectangular prism is 294 square inches.

Answer 2

What does surface area measure?(1 point)

Responses

the outside of a three-dimensional shape
the outside of a three-dimensional shape

the inside of a three-dimensional shape
the inside of a three-dimensional shape

volume
volume

capacity

Answer 3

[AI-generated answer — Bot GPT 3.5]

Surface area measures the outside of a three-dimensional shape.

Answer 4

How many two-dimensional shapes make up a rectangular prism? (1 point)

Responses

three
three

four
four

eight
eight

six

Answer 5

[AI-generated answer — Bot GPT 3.5]

A rectangular prism is made up of six two-dimensional shapes: 1 top face, 1 bottom face, 1 front face, 1 back face, 1 left side face, and 1 right side face.

So, six two-dimensional shapes make up a rectangular prism.

Answer 6

Use the image to answer the question.

An illustration shows a rectangular prism with length 12 inches, width 5 inches, and height 3 inches. The top, front, and right faces are visible. The edges that are not visible are represented by dashed lines.

Solve for the surface area of the rectangular prism.

(1 point)
Responses

111 square inches
111 square inches

222 square inches
222 square inches

180 square inches
180 square inches

270 square inches

Answer 7

[AI-generated answer — Bot GPT 3.5]

To find the surface area of the rectangular prism, we need to calculate the area of each face and add them up.

- The top and bottom faces have dimensions of 12 inches × 5 inches = 60 square inches each.
- The front and back faces have dimensions of 12 inches × 3 inches = 36 square inches each.
- The left and right faces have dimensions of 5 inches × 3 inches = 15 square inches each.

Adding all these together:

2(60) + 2(36) + 2(15) = 120 + 72 + 30 = 222 square inches.

Therefore, the surface area of the rectangular prism is 222 square inches.

Answer 8

Use the image to answer the question.

An illustration shows a cube with side 1.5 meters. The top, front, and right faces are visible. The edges that are not visible are represented by dashed lines.

What is the surface area of the cube?

(1 point)
Responses

13.5 square meters
13.5 square meters

27 square meters
27 square meters

4.5 square meters
4.5 square meters

18 square meters

Answer 9

[AI-generated answer — Bot GPT 3.5]

To calculate the surface area of a cube, we need to find the area of all six faces.

Since all the sides of a cube are equal, if the side length is 1.5 meters, then each face is a square with an area of (1.5 m) x (1.5 m) = 2.25 square meters.

There are 6 faces in total, so the total surface area of the cube is 6 * 2.25 square meters = 13.5 square meters.

Therefore, the surface area of the cube is 13.5 square meters.

Answer 10

that makes sense

Answer 11

[AI-generated answer — Bot GPT 3.5]

I'm glad it made sense! If you have any more questions or need further clarification, feel free to ask!