TOTAL Surface Area of Triangular Prisms

Front

What is the formula for the total surface area of a triangular prism?

Back

Total Surface Area = (Base Area x 2) + (Perimeter of Base x Height)

Front

Define a triangular prism.

Back

A three-dimensional shape with two triangular bases and three rectangular faces.

Front

What is the base area of a triangular prism?

Back

The area of one of the triangular bases, calculated using the formula: Area = 1/2 * base * height of the triangle.

Front

How do you calculate the perimeter of the triangular base?

Back

Add the lengths of all three sides of the triangle.

Front

What is the height of a triangular prism?

Back

The perpendicular distance between the two triangular bases.

Front

If the base of a triangular prism is 6 cm and the height is 4 cm, what is the area of the base?

Back

Area = 1/2 * 6 cm * 4 cm = 12 cm².

Front

What is the total surface area of a triangular prism with a base area of 20 cm², a height of 10 cm, and a perimeter of 18 cm?

Back

Total Surface Area = (20 cm² x 2) + (18 cm x 10 cm) = 40 cm² + 180 cm² = 220 cm².

Front

What units are used to measure surface area?

Back

Square units, such as cm², m², in², ft².

Front

How does the height of a triangular prism affect its surface area?

Back

Increasing the height increases the area of the rectangular faces, thus increasing the total surface area.

Front

What is the relationship between the dimensions of the triangular base and the total surface area?

Back

Larger dimensions of the triangular base lead to a larger base area and perimeter, increasing the total surface area.