1 Answer

Bobby Eickhoff · Answer 1 · 2023-08-23T19:31:31+0000

Let's cut the given solid into two parts to easily get its total volume:

Let's determine the volume of figure A:

$\text{ Volume = L x W x H}$
$\text{ = 6 x 8 x (16-8) = 6 x 8 x 8}$
$\text{ Volume of Figure A = 384 cm}^3$

Let's determine the volume of figure B:

$\text{ Volume = L x W x H}$
$\text{ = 24 x 8 x 6}$
$\text{ Volume of Figure B = 1,152 cm}^3$

Let's add the volume of the A and B to get the total volume of the given figure.

We get,

$\text{ Total Volume = Volume Figure A + Volume of Figure B}$
$\text{ = 384 + 1,152}$
$\text{ Total Volume = 1,536 cm}^3$

Therefore, the volume of the figure is 1,536 cm³.

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