Question

Find the volume of the composed figure. 6 cm 16 cm Som Enter the correct number in the box. Hint cu cm

Answer 1

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.