Surface Area of Rectangular Prisms

Front

What is surface area?

Back

The area of each face of a 3D shape added together.

Front

What is a face in geometry?

Back

The flat side of a 3D shape.

Front

What is the formula for the lateral surface area of a rectangular prism?

Back

Lateral Surface Area = 2h(l + w), where h is height, l is length, and w is width.

Front

If a rectangular prism has a length of 5 ft, width of 3 ft, and height of 4 ft, what is its total surface area?

Back

Total Surface Area = 2lw + 2lh + 2wh = 2(5)(3) + 2(5)(4) + 2(3)(4) = 30 + 40 + 24 = 94 ft².

Front

What is the difference between lateral surface area and total surface area?

Back

Lateral surface area includes only the sides of the prism, while total surface area includes the sides, top, and bottom.

Front

How do you calculate the lateral surface area of a rectangular prism with dimensions 10 ft (length), 6 ft (width), and 8 ft (height)?

Back

Lateral Surface Area = 2h(l + w) = 2(8)(10 + 6) = 2(8)(16) = 256 ft².

Front

If you want to paint only the walls of a room, which surface area should you calculate?

Back

You should calculate the lateral surface area.

Front

What is the lateral surface area of a rectangular prism with a height of 10 ft, length of 12 ft, and width of 5 ft?

Back

Lateral Surface Area = 2h(l + w) = 2(10)(12 + 5) = 2(10)(17) = 340 ft².

Front

What is the total surface area of a rectangular prism with dimensions 4 ft (length), 3 ft (width), and 2 ft (height)?

Back

Total Surface Area = 2lw + 2lh + 2wh = 2(4)(3) + 2(4)(2) + 2(3)(2) = 24 ft².

Front

If a rectangular prism has a height of 10 ft and a base area of 60 ft², what is the lateral surface area?

Back

Lateral Surface Area = 2h(l + w), where l and w can be derived from the base area. Assuming l = 10 ft and w = 6 ft, Lateral Surface Area = 2(10)(10 + 6) = 320 ft².