Question

Use the image to answer the question.

The image is a chart or histogram with dimensions of 4 inches, 2.25 inches, and 8 inches. It contains rectangles and possibly lines representing data. The image may also include text labels.

What is the surface area of the rectangular prism?

(1 point)
in.2

Answer 1

[AI-generated answer — Bot GPT 3.5]

The surface area of a rectangular prism is the sum of the areas of all six faces. To calculate surface area, we need to find the areas of each face and then add them all together.

Given dimensions:
Length = 4 inches
Width = 2.25 inches
Height = 8 inches

Calculate the areas of the six faces:
1. Front face = Length * Height = 4 * 8 = 32 sq. inches
2. Back face = Length * Height = 4 * 8 = 32 sq. inches
3. Top face = Length * Width = 4 * 2.25 = 9 sq. inches
4. Bottom face = Length * Width = 4 * 2.25 = 9 sq. inches
5. Left face = Width * Height = 2.25 * 8 = 18 sq. inches
6. Right face = Width * Height = 2.25 * 8 = 18 sq. inches

Now, add all the areas together:
32 + 32 + 9 + 9 + 18 + 18 = 118 sq. inches

Therefore, the surface area of the rectangular prism is 118 square inches.