Surface Area Of Triangular Prism Worksheet With Answers Pdf
Introduction
Triangular prisms are three-dimensional figures with five faces, two triangular and three rectangular. To find the surface area of a triangular prism, we must know the area of the triangular bases and the area of each rectangular face. This article will provide a comprehensive worksheet with answers to help you master the surface area of triangular prisms.
Worksheet Overview
The worksheet consists of ten questions with a final challenge question. Each question has a triangular prism, and you have to calculate the surface area. There are different units of measurements for each question, including centimeters, meters, and feet. The worksheet's answers are at the end, allowing you to check and verify your responses.
How to Calculate Surface Area of Triangular Prism
Before attempting the worksheet, let us review how to calculate the surface area of a triangular prism. First, we calculate the area of the two triangular bases by multiplying the base by height and dividing by two. Second, we find the area of each rectangular face by multiplying its length by width. Finally, we add the areas of the two triangular bases and three rectangular faces to get the total surface area.
Worksheet Questions
Question 1: A triangular prism with a base of 5cm and a height of 8cm and a length of 15cm. What is the total surface area in cm²?
Question 2: A triangular prism with a base of 10m and height of 6m and a length of 35m. What is the total surface area in m²?
Question 3: A triangular prism with a base of 8ft and a height of 12ft and a length of 24ft. What is the total surface area in ft²?
Question 4: A triangular prism with a base of 3cm and a height of 7cm and a length of 21cm. What is the total surface area in cm²?
Question 5: A triangular prism with a base of 12m and a height of 10m and a length of 40m. What is the total surface area in m²?
Question 6: A triangular prism with a base of 6ft and a height of 16ft and a length of 32ft. What is the total surface area in ft²?
Question 7: A triangular prism with a base of 9cm and a height of 15cm and a length of 12cm. What is the total surface area in cm²?
Question 8: A triangular prism with a base of 15m and a height of 8m and a length of 50m. What is the total surface area in m²?
Question 9: A triangular prism with a base of 7ft and a height of 20ft and a length of 40ft. What is the total surface area in ft²?
Question 10: A triangular prism with a base of 10cm and a height of 14cm and a length of 28cm. What is the total surface area in cm²?
Challenge Question: A triangular prism with a base of 6ft and a height of 8ft and a length of 20ft. What is the total surface area in ft²?
Worksheet Answers
Question 1: 305 cm²
Question 2: 1160 m²
Question 3: 1320 ft²
Question 4: 294 cm²
Question 5: 1600 m²
Question 6: 736 ft²
Question 7: 576 cm²
Question 8: 1780 m²
Question 9: 980 ft²
Question 10: 462 cm²
Challenge Question: 368 ft²
Conclusion
With the provided surface area of triangular prism worksheet with answers, you can practice and master how to calculate the surface area of triangular prisms with ease. Remember, to calculate the surface area, you need to know the area of the triangular bases and the area of each rectangular face. Good luck practicing!