Question

Which expression represents the volume, in cubic units, of the composite figure? (8)(6)(6) + (8)(6)(4) (8)(6)(10) + (8)(6)(4) (8)(6)(4) – (8)(6)(6) (8)(6)(4) – (8)(6)(10)

Answer 1

To calculate the volume of a composite figure composed of rectangular prisms, calculate the volume of each prism with the formula (length × width × height) and then add or subtract these volumes based on how the prisms are combined.

Step-by-step explanation:

To find the volume of a composite figure, you often need to calculate the volumes of simpler shapes that make up the figure and then combine these volumes appropriately. If the composite figure is a combination of two rectangular prisms attached to each other, you would find the volume of each prism using the formula for the volume of a rectangular prism, which is length × width × height, and then add or subtract these volumes according to how the prisms are connected.

For example, if you have two prisms stacked on top of each other, you would add their volumes. If one smaller prism is subtracted from a larger one (like a hollowed-out section), you would subtract the volume of the smaller prism from the volume of the larger prism.

In a hypothetical situation where you have one prism with dimensions 8 units by 6 units by 6 units, and another prism with dimensions 8 units by 6 units by 4 units, and these prisms are stacked on top of each other, the total volume would be calculated as (8 × 6 × 6) + (8 × 6 × 4). Without the specific details or a diagram of the composite figure in question, this is a general approach to finding the volume of a composite figure made up of rectangular prisms.