FTCE General Knowledge Math Practice Test

Which of the following formulas is related to the surface area of a solid?

1. 4(3.14)(r^2)

2. (3.14)(r)(h)

3. (3.14)(r^2)(h)/3

4. LWH

The correct answer is: 4(3.14)(r^2)

The formula associated with the surface area of a solid in this context is 4(3.14)(r^2), which represents the surface area of a sphere. In this formula, r stands for the radius of the sphere, and 3.14 is an approximation of π (pi). The factor of 4 accounts for the total surface area of the sphere. When calculating surface area, it is important to understand that surface area measures the total area that the surface of a three-dimensional object occupies. In the case of a sphere, the surface area is derived from the geometry of the shape, leading to the specific formula. The other options do not represent surface area in this context. For instance, (3.14)(r)(h) relates to the lateral surface area of a cylinder, (3.14)(r^2)(h)/3 describes the volume of a cone, and LWH represents the volume of a rectangular prism. Hence, A is the only formula that directly correlates with the surface area of a solid, specifically the sphere.