Height	Base Side 1	Base Side 2	Base Side 3	Surface Area	Volume	Lateral Surface Area
5	4	7	8	202	100	85
8	6	10	12	396	480	140
10	8	12	15	620	720	200
15	10	16	20	1080	1800	300
20	12	20	25	1600	2400	400
25	15	24	30	2400	3750	500

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

Practice Questions on Triangular Prism Calculator

1. Find the surface area, volume, and lateral surface area of a triangular prism with a base of sides 7 cm, 10 cm, and cm, and a height of 20 cm.

2. Calculate the surface area, volume, and lateral surface area of a triangular prism with a base of sides 5 inches, 12 inches, and 13 inches, and a height of 15 inches.

3. Determine the surface area, volume, and lateral surface area of a triangular prism with a base of sides 9 meters, 12 meters, and 15 meters, and a height of 30 meters.

Conclusion

Triangular prism calculator is a useful tool for quickly finding key measurements like volume and surface area. By inputting the dimensions of the triangular base and the length of the prism, the calculator applies specific formulas to provide accurate results. Mastering the triangular prism calculators provides valuable insights into geometry and real-world applications. With the simple steps outlined in this article, you now possess the knowledge to compute triangular prism properties confidently.

Triangular Prism Calculator – Free Online Calculator – FAQs

What is Triangular Prism Calculator?

A triangular prism calculator serves as a helpful guide for individuals needing to perform manual calculations without depending on tools or software.

Can I use online calculators for finding properties of triangular prisms?

While online calculators offer convenience, understanding manual calculations enhances your understanding of geometry.

Why is it important to know how to calculate properties of triangular prisms?

Understanding geometric concepts like triangular prism properties is essential for fields such as architecture, engineering, and manufacturing.

Are there any shortcuts for finding properties of triangular prisms?

Breaking the triangular prism down into simpler shapes like triangles and rectangles can simplify the calculation process.

Can I use online calculators for finding properties of triangular prisms?

While online calculators offer convenience, understanding manual calculations enhances your understanding of geometry.

Why is it important to know how to calculate properties of triangular prisms?

Understanding geometric concepts like triangular prism properties is essential for fields such as architecture, engineering, and manufacturing.

Are there any shortcuts for finding properties of triangular prisms?

Breaking the triangular prism down into simpler shapes like triangles and rectangles can simplify the calculation process. This method allows you to calculate the properties of individual shapes and then combine them to find the properties of the entire triangular prism.