Exploring Volume and Surface Area of Polygonal Prisms

The video tutorial explores the concepts of volume and surface area for polygonal prisms, including hexagonal and triangular prisms. It provides formulas and examples for calculating volume by multiplying the base area by height and explains surface area as the sum of all face areas. The tutorial includes practice problems to reinforce understanding.

What is the formula to calculate the volume of any prism?

• Volume = Base Area x Height

• Volume = Base Area - Height

• Volume = Base Area + Height

• Volume = (Base Area x Height) / 2

If the base area of a hexagonal prism is 65 square centimeters and the height is 18 centimeters, what is the volume?

• 1170 cubic centimeters

• 83 cubic centimeters

• 650 cubic centimeters

• 180 cubic centimeters

How do you calculate the surface area of a prism?

• Add the area of all faces

• Add the volume of all faces

• Subtract the area of all faces

• Multiply the area of all faces

What is the area of a triangle with a base of 3 cm and height of 4 cm?

• 6 square centimeters

• 5 square centimeters

• 12 square centimeters

• 7 square centimeters

For a rectangle with dimensions 11 cm by 4 cm, what is the area?

• 28 square centimeters

• 15 square centimeters

• 40 square centimeters

• 44 square centimeters

What is the total surface area of a prism if the areas of its faces are 6, 6, 55, 33, and 44 square centimeters?

• 134 square centimeters

• 154 square centimeters

• 144 square centimeters

• 164 square centimeters

If the base area of a hexagonal prism is 41.6 square centimeters and the height is 10 centimeters, what is the volume?

• 436 cubic centimeters

• 426 cubic centimeters

• 416 cubic centimeters

• 406 cubic centimeters

Calculate the surface area of a hexagonal prism with a base area of 41.6 square centimeters and six side rectangles each with an area of 40 square centimeters.

• 313.2 square centimeters

• 343.2 square centimeters

• 323.2 square centimeters

• 333.2 square centimeters

What is the surface area of a triangular prism with two triangles each having an area of 28 square centimeters and three rectangles each with an area of 96 square centimeters?

• 344 square centimeters

• 354 square centimeters

• 334 square centimeters

• 364 square centimeters

What is the volume of a triangular prism with a base area of 28 square centimeters and a height of 12 centimeters?

• 346 cubic centimeters

• 336 cubic centimeters

• 326 cubic centimeters

• 316 cubic centimeters