A right triangular prism has a right-angled triangular base with legs 10 cm and 12 cm, and height 20 cm. If the material density is 6 g/cm^3, find the weight (in kg) of the prism.

Introduction / Context:The mass of a solid is density times volume. For a right prism, volume equals the area of its base multiplied by its height (length).

Given Data / Assumptions:

• Right triangle legs: 10 cm and 12 cm.
• Prism height (length): 20 cm.
• Density: 6 g/cm^3.

Concept / Approach:Compute base area A = (1/2)*a*b, then volume V = A*height. Convert grams to kilograms at the end (1000 g = 1 kg).

Step-by-Step Solution:

Verification / Alternative check:Units: (g/cm^3)*(cm^3) = g → convert to kg by dividing by 1000.

Why Other Options Are Wrong:6.4, 4.8, 3.4 kg are off the exact density-volume product.

Common Pitfalls:Using hypotenuse instead of legs; forgetting the 1/2 in the triangular area; missing unit conversion to kg.

Final Answer:7.2 kg