Geometric Formulas: Volume and Surface Area

This set of flashcards covers the volume and surface area formulas for three-dimensional shapes as presented in the lecture notes, including cubes, prisms, pyramids, cylinders, cones, and spheres.

The formula to find the volume of a Cube is __________.

$$V = s^3$$

The formula to find the volume of a Rectangular Prism is __________.

$$V = lwh$$

The formula to find the volume of a Cylinder is __________.

$$V = \text{π}r^2 h$$

The formula to find the volume of a Cone is __________.

$$V = \frac{1}{3}\text{π}r^2 h$$

The formula to find the volume of a Sphere is __________.

$$V = \frac{4}{3}\text{π}r^3$$

The formula to find the volume of a Rectangular Pyramid is __________.

$$V = \frac{1}{3}lwh$$

The formula to find the volume of a Square Pyramid is __________.

$$V = \frac{1}{3}s^2 h$$

The formula to find the surface area of a Rectangular Prism is __________.

$$SA = 2(lw + lh + wh)$$

The formula to find the surface area of a Cube is __________.

$$SA = 6s^2$$

The general formula for the surface area of Pyramids is __________ + Area of the lateral faces.

Area of the base

A specific formula for the surface area of Pyramids involving the base (B) and lateral faces is __________.

$$SA = B + 4(bh)$$

The formula to find the surface area of a Cylinder is __________.

$$SA = 2\text{π}rh + 2\text{π}r^2$$

The formula to find the surface area of a Cone is __________.

$$SA = \text{π}rs + \text{π}r^2$$

The formula to find the surface area of a Sphere is __________.

$$SA = 4\text{π}r^2$$