Solved Examples on Triangular Prism Calculator
1. Find the surface area, volume, and lateral surface area of a triangular prism with a base of sides 6 cm, 8 cm, and 10 cm, and a height of 15 cm.
- A = Area of base + 3 × Area of triangle
- V = Area of base × Height
- P = Perimeter of base × Height
- L = Perimeter of base × Height
Substituting the given values:
Area of base = 1/2 × 6 × 8 = 24 sq. cm
Area of triangle = sqrt(15 × (15 − 6) × (15 − 8) × (15 − 10)) = 72 sq. cm
Perimeter of base = 6 + 8 + 10 = 24 cm
Perimeter of base = 6 + 8 + 10 = 24 cm
Substitute these values into the formulas to get:
A = 24 + 3 × 72 = 240 sq. cm
V = 24 × 15 = 360 cubic cm
L = 24 × 15 = 360 sq. cm
2. Calculate the surface area, volume, and lateral surface area of a triangular prism with a base of sides 4 inches, 6 inches, and 8 inches, and a height of 10 inches.
Following the same formulas:
Area of base = 1/2 × 4 × 6 = 12 sq. in
Area of triangle = sqrt(10 × (10 − 4) × (10 − 6) × (10 − 8)) = 24 sq. in
Perimeter of base = 4 + 6 + 8 = 18 in
Perimeter of base = 4 + 6 + 8 = 18 in
Substituting into the formulas:
A = 12 + 3 × 24 = 84 sq. in
V = 12 × 10 = 120 cubic in
L = 18 × 10 = 180 sq. in
3. Determine the surface area, volume, and lateral surface area of a triangular prism with a base of sides 12 meters, 16 meters, and 20 meters, and a height of 25 meters.
Continuing with the same approach:
Area of base = 12 × 12 × 16 = 96 sq. m
Area of triangle = sqrt(25 × (25 − 12) × (25 − 16) × (25 − 20)) = 120 sq. m
Perimeter of base = 12 + 16 + 20 = 48 m
Perimeter of base = 1/2 + 16 + 20 = 48 m
Substituting into the formulas:
A = 96 + 3 × 120 = 456 sq. m
V = 96 × 25 = 2400 cubic m
L = 48 × 25 = 1200 sq. m
Triangular Prism Calculator – Free Online Calculator
Triangular Prism Calculator: This tool is essential for anyone looking to quickly and accurately determine the volume and surface area of a triangular prism. A triangular prism is a type of prism with two triangular bases and three rectangular faces connecting them. The website w3wiki has developed a simple and fast triangular prism calculator that always gives you the right answer. This calculator is versatile and can be used by a student, teacher, or professional, understanding how to use these calculations can help you with projects, homework, or real-world applications.