Respuesta :

Answer:

the volume is 1176 cm^3

Step-by-step explanation:

you can divide the bricks into two shapes, find their volumes and add them back together:

1st brick shape: 21 * 6 * 6 = 756 cm^3

2nd brick shape: 10 * 7 * 6 = 420 cm^3

now add them and you get 1176 cm^3 per identical brick as their volume, you just have to multiply the height, length and width that you know makes up a simpler shape

pls brainliest if you found it useful

Answer:

1176 cm^3

Step-by-step explanation:

Here are 2 ways of finding the volume.

Method 1.

Think of the front face, and the rectangle size you need to change from an L shape to a full rectangle.

The volume the larger prism then is

16 cm * 21 cm * 6 cm = 2016 cm^3

Now we need to subtract the part we added.

10 cm * 14 cm * 6 cm = 840 cm^3

2016 cm^3 - 840 cm^3 = 1176 cm^3

Method 2.

Think of the left vertical part and the lower horizontal part.

6 cm * 21 cm * 6 cm = 756 cm^3

10 cm * 7 cm * 6 cm = 420 cm^3

Add the two volumes.

756 cm^3 + 420 cm^3 = 1176 cm^3