Surface Area of Prisms

Front

What is the formula for calculating the surface area of a prism?

Back

The surface area of a prism can be calculated using the formula: Surface Area = 2 * Base Area + Lateral Area.

Front

What is the surface area of a triangular prism with a base area of 50 cm² and a lateral area of 120 cm²?

Back

Surface Area = 2 * Base Area + Lateral Area = 2 * 50 cm² + 120 cm² = 220 cm².

Front

How many faces does a triangular prism have?

Back

A triangular prism has 5 faces.

Front

What is the lateral area of a prism?

Back

The lateral area of a prism is the sum of the areas of all the lateral faces (the faces that are not the bases).

Front

If the base of a triangular prism is an equilateral triangle with a side length of 6 cm, what is the area of the base?

Back

The area of an equilateral triangle can be calculated using the formula: Area = (sqrt(3)/4) * side². For a side length of 6 cm, Area = (sqrt(3)/4) * 6² = 9√3 cm².

Front

What is the total surface area of a rectangular prism with length 4 ft, width 3 ft, and height 5 ft?

Back

Total Surface Area = 2(lw + lh + wh) = 2(4*3 + 4*5 + 3*5) = 2(12 + 20 + 15) = 2(47) = 94 ft².

Front

What is the difference between the base area and lateral area of a prism?

Back

The base area refers to the area of the base(s) of the prism, while the lateral area refers to the area of the sides of the prism.

Front

How do you find the surface area of a prism with a polygonal base?

Back

To find the surface area of a prism with a polygonal base, calculate the area of the base, multiply by 2, and add the lateral area.

Front

What is the surface area of a prism if the base area is 30 in² and the lateral area is 50 in²?

Back

Surface Area = 2 * Base Area + Lateral Area = 2 * 30 in² + 50 in² = 110 in².

Front

What is the surface area of a prism with a base area of 20 m² and a lateral area of 40 m²?

Back

Surface Area = 2 * Base Area + Lateral Area = 2 * 20 m² + 40 m² = 80 m².