https://file.aiquickdraw.com/mathbot/file/1726609882394hl2hc268.jpg

To find the surface area of the triangular prism shown in the image, we need to use the following formula for the total surface area:

\[
\text{Surface Area} = \text{Lateral Surface Area} + 2 \times \text{Base Area}
\]

The information provided in the problem is:
- Height of the prism = 14 inches
- Base perimeter = 40 inches
- Lateral surface area = 560 square inches

We still need the area of the triangular base. However, it is not directly provided. We can calculate it using the given information and the lateral surface area formula. Since the lateral surface area is already known, we can focus on finding the base area directly if it were to be provided elsewhere. Otherwise, we might assume that more base details were in the full problem set.

Could you confirm if you have the base area, or would you like help estimating or solving further from these parts?

What is the surface area of the triangular prism shown below?

This problem involves finding the surface area of a triangular prism, given its height, base perimeter, and lateral surface area. The surface area is calculated by adding the lateral surface area and twice the base area. Suitable for Grades 8-10 geometry students.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation