Math 6 Surface Area and Volume Practice Test

The surface area (SA) of a rectangular prism is given by the formula: SA = 2(lw + lh + wh), where l is the length, w is the width, and h is the height.

The volume (V) of a rectangular prism is calculated using the formula: V = lwh, where l is the length, w is the width, and h is the height.

The volume is V = lwh = 10 in * 5 in * 4 in = 200 in³.

Using the formula SA = 2(lw + lh + wh): SA = 2(3m*4m + 3m*5m + 4m*5m) = 2(12 + 15 + 20) = 2(47) = 94 m².

The unit of measurement for surface area is square units, such as square inches (in²), square meters (m²), or square yards (yd²).

The unit of measurement for volume is cubic units, such as cubic inches (in³), cubic meters (m³), or cubic feet (ft³).

The base area (A) can be found using the formula: SA = 2A + Ph, where P is the perimeter of the base. Rearranging gives A = (SA - Ph)/2.

The perimeter (P) of the base is calculated as P = 2(l + w) = 2(6 cm + 4 cm) = 2(10 cm) = 20 cm.

To convert cubic centimeters (cm³) to liters, divide the volume in cm³ by 1000. (1 L = 1000 cm³).

Surface area measures the total area of the prism's faces, while volume measures the space inside the prism. They are related but represent different properties.