Surface Area of Rectangular Prisms

Front

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

Back

Surface Area = 2(lw + lh + wh), where l = length, w = width, h = height.

Front

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

Back

Surface Area = 2(5*3 + 5*4 + 3*4) = 2(15 + 20 + 12) = 2(47) = 94 m².

Front

What does 'total surface area' mean in the context of a rectangular prism?

Back

Total surface area refers to the sum of the areas of all six faces of the prism.

Front

How do you calculate the area of one face of a rectangular prism?

Back

Area of one face = length × width.

Front

What is the surface area of a rectangular prism with dimensions 2 m (length), 3 m (width), and 5 m (height)?

Back

Surface Area = 2(2*3 + 2*5 + 3*5) = 2(6 + 10 + 15) = 2(31) = 62 m².

Front

What is the significance of units in surface area calculations?

Back

Units indicate the measurement of area, typically expressed in square units (e.g., m², cm²).

Front

If the dimensions of a rectangular prism are doubled, how does the surface area change?

Back

The surface area increases by a factor of 4.

Front

What is the surface area of a rectangular prism with a length of 10 m, width of 4 m, and height of 2 m?

Back

Surface Area = 2(10*4 + 10*2 + 4*2) = 2(40 + 20 + 8) = 2(68) = 136 m².

Front

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

Back

Increasing any dimension (length, width, height) increases the surface area.

Front

How do you find the surface area of a rectangular prism if only the volume is given?

Back

You need the dimensions (length, width, height) to calculate surface area from volume.