Question

question 18 of 50
if a right rectangular prism is divided into smaller right rectangular prisms, then the volume of the original prism is equal to the sum of the smaller prism volumes.
false
true

Explanation:

Step1: Recall Volume Addition Principle

The volume of a composite solid (formed by combining smaller solids) is the sum of the volumes of the smaller solids. Conversely, when a solid is divided into smaller solids, the volume of the original solid equals the sum of the volumes of the smaller ones. For a right rectangular prism, if we divide it into smaller right rectangular prisms, the total space occupied (volume) should remain the same, which is the sum of the volumes of the smaller prisms.

Step2: Apply to the Problem

The problem states a right rectangular prism is divided into smaller right rectangular prisms. By the volume addition principle, the original volume equals the sum of the smaller prisms' volumes. So the statement is true.

Answer:

True