Surface Area of Rectangular Prisms and Cubes

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 = 2(lw + lh + wh), where l is the length, w is the width, and h is the height.

Front

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

Back

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

Front

How do you convert square inches to square millimeters?

Back

To convert square inches to square millimeters, multiply the area in square inches by 645.16 (1 in² = 645.16 mm²).

Front

What is the relationship between the dimensions of a rectangular prism and its surface area?

Back

The surface area of a rectangular prism increases with the increase in any of its dimensions (length, width, height). Changing one dimension affects the total surface area.

Front

If a cube has a side length of 4 inches, what is its surface area?

Back

The surface area of a cube with a side length of 4 inches is SA = 6(4 in)² = 96 in².

Front

What units are used to measure surface area?

Back

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

Front

How does the surface area of a rectangular prism change if all dimensions are doubled?

Back

If all dimensions of a rectangular prism are doubled, the surface area increases by a factor of 4.

Front

What is the surface area of a rectangular prism with dimensions 5 cm, 3 cm, and 2 cm?

Back

The surface area is SA = 2(5*3 + 5*2 + 3*2) = 2(15 + 10 + 6) = 2(31) = 62 cm².

Front

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

Back

Surface area is significant in real-world applications such as packaging, painting, and material usage, as it determines how much material is needed to cover an object.

Front

How do you find the surface area of a composite shape made of rectangular prisms?

Back

To find the surface area of a composite shape, calculate the surface area of each individual rectangular prism and then sum them up, adjusting for any overlapping areas.