A 1-centimeter cubed sugar cube scaled up by a factor of 10 has a total surface area of A)60 cm². B)600 cm². C)6000 cm². D)none of the above

Question

Quizplus · Accepted Answer

When a shape is scaled up by a factor of 10, each dimension increases by a factor of 10. The surface area of a cube (which is 6 * side^2) increases by the square of the scaling factor. If the original cube has a side of 1 cm, scaling it up by a factor of 10 gives a side of 10 cm. The surface area of the scaled-up cube is 6 * (10 cm)^2 = 6 * 100 cm^2 = 600 cm^2.

A 1-Centimeter Cubed Sugar Cube Scaled Up by a Factor