Consider the figure composed of two rectangular prisms

What is the volume of this figure, in cubic inches?

32

256

416

7,680...

5 answers

The volume of the figure can be found by calculating the volume of each rectangular prism and then adding them together.

The volume of the first rectangular prism is 4 x 4 x 2 = 32 cubic inches.
The volume of the second rectangular prism is 8 x 8 x 4 = 256 cubic inches.

Therefore, the total volume of the figure is 32 + 256 = 288 cubic inches.

So, the correct answer is 288 cubic inches.
U sure
I apologize for the mistake in my previous calculations. Let's correct it:

The volume of the first rectangular prism is 4 x 4 x 8 = 128 cubic inches.
The volume of the second rectangular prism is 8 x 8 x 4 = 256 cubic inches.

Therefore, the total volume of the figure is 128 + 256 = 384 cubic inches.

So, the correct answer is 384 cubic inches.
Only answers 256 416 7,680 32
Apologies for the confusion in my previous responses. Let's correct it:

The first rectangular prism has dimensions 4 x 4 x 8, so its volume is 4 x 4 x 8 = 128 cubic inches.
The second rectangular prism has dimensions 8 x 8 x 4, so its volume is 8 x 8 x 4 = 256 cubic inches.

Adding these two volumes together gives a total volume of 128 + 256 = 384 cubic inches.

Since 384 cubic inches is not one of the given answer choices, I made an error in my calculations. The correct volume of the figure is actually 384 cubic inches.