Surface Area of Rectangular Prisms

Front

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

Back

The surface area (SA) of a rectangular prism is calculated using the formula: SA = 2lw + 2lh + 2wh, where l is the length, w is the width, and h is the height.

Front

What is lateral surface area?

Back

Lateral surface area refers to the area of the sides of a three-dimensional shape, excluding the top and bottom surfaces.

Front

How do you calculate the lateral surface area of a rectangular prism?

Back

The lateral surface area (LSA) of a rectangular prism is calculated using the formula: LSA = 2h(l + w), where h is the height, l is the length, and w is the width.

Front

What is the total surface area of a cube with a side length of 's'?

Back

The total surface area (TSA) of a cube is calculated using the formula: TSA = 6s², where s is the length of a side.

Front

If a rectangular prism has a length of 10 cm, width of 5 cm, and height of 2 cm, what is its surface area?

Back

The surface area is calculated as: SA = 2(10)(5) + 2(10)(2) + 2(5)(2) = 100 + 40 + 20 = 160 cm².

Front

What units are used to measure surface area?

Back

Surface area is measured in square units, such as square centimeters (cm²), square meters (m²), or square inches (in²).

Front

What is the relationship between surface area and volume in three-dimensional shapes?

Back

Surface area measures the total area of the surface of a shape, while volume measures the amount of space inside the shape. They are related but represent different properties.

Front

How does increasing the dimensions of a rectangular prism affect its surface area?

Back

Increasing the dimensions (length, width, height) of a rectangular prism will increase its surface area, often at a greater rate than the increase in volume.

Front

What is the surface area of a rectangular prism with dimensions 4 m x 3 m x 2 m?

Back

The surface area is calculated as: SA = 2(4)(3) + 2(4)(2) + 2(3)(2) = 24 + 16 + 12 = 52 m².

Front

What is the significance of surface area in real-world applications?

Back

Surface area is important in various fields such as engineering, architecture, and biology, as it affects heat transfer, material usage, and chemical reactions.