Understanding Surface Area of a Square Prism

The video tutorial explains how to find the surface area of a square prism. It begins by defining a square prism and introduces the two main components of surface area: lateral area and base area. The tutorial then details the calculation of the lateral area using the perimeter and height of the prism. Next, it explains how to find the base area by squaring the side of the base and doubling it to account for both bases. Finally, the tutorial combines the lateral and base areas to determine the total surface area of the square prism.

What is a square prism?

• A prism with rectangular bases

• A prism with triangular bases

• A prism with circular bases

• A prism with square bases

What are the two main components needed to calculate the surface area of a square prism?

• Volume and height

• Height and width

• Lateral area and base area

• Perimeter and volume

How do you calculate the lateral area of a square prism?

• Perimeter of the base times height

• Volume divided by height

• Side length squared

• Base area times height

If the perimeter of the base is 24 inches and the height is 8 inches, what is the lateral area?

• 192 square inches

• 32 square inches

• 64 square inches

• 48 square inches

What is the formula for the base area of a square prism?

• Side length times height

• Side length squared

• Perimeter times height

• Volume divided by base

If one side of the square base is 6 inches, what is the area of one base?

• 18 square inches

• 12 square inches

• 24 square inches

• 36 square inches

Why do we double the base area when calculating the total surface area of a square prism?

• Because there are two bases

• To account for the height

• To simplify the calculation

• To match the lateral area

What is the total base area if one base area is 36 square inches?

• 144 square inches

• 108 square inches

• 72 square inches

• 36 square inches

How do you find the total surface area of a square prism?

• Subtract the base area from the lateral area

• Add the lateral area and the total base area

• Divide the lateral area by the base area

• Multiply the lateral area by the base area

What is the total surface area of the square prism if the lateral area is 192 square inches and the total base area is 72 square inches?

• 264 square inches

• 144 square inches

• 192 square inches

• 72 square inches