Surface Area, Volume, and Exponents

Front

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

Back

Surface Area = 2(Length x Width + Length x Height + Width x Height)

Front

What is the formula for the volume of a rectangular prism?

Back

Volume = Length x Width x Height

Front

What does the exponent in a number represent?

Back

The exponent indicates how many times the base number is multiplied by itself.

Front

What is 7 raised to the power of 6?

Back

7^6 = 7 x 7 x 7 x 7 x 7 x 7 = 117649

Front

Calculate the surface area of a rectangular prism with Length = 5 in, Width = 4 in, Height = 3 in.

Back

Surface Area = 2(5x4 + 5x3 + 4x3) = 2(20 + 15 + 12) = 2(47) = 94 in²

Front

What is the volume of a cube with a side length of 3 cm?

Back

Volume = Side x Side x Side = 3 x 3 x 3 = 27 cm³

Front

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

Back

Volume = 10 x 5 x 2 = 100 cm³

Front

What is the relationship between surface area and volume?

Back

Surface area measures the total area of the surface, while volume measures the space inside the object.

Front

What is the formula for finding the volume of a cylinder?

Back

Volume = π x radius² x height

Front

If the radius of a cylinder is 4 cm and the height is 10 cm, what is its volume?

Back

Volume = π x 4² x 10 = 160π cm³ (approximately 502.65 cm³)