Alex has a block of wood that is in the shape of a prism with the dimensions shown. He cuts a 10-cm square hole through the center of the prism. What is the volume of the remaining solid?

Step-by-step explanation:

I think your question is missing key information and the one below is similar to yours. Hope it will find you well:

"Alex has a block of wood that is in the shape of a rectangular prism dimensions 70 cm by 50 cm by 30 cm.  He cuts a 10-cm square hole through the center of the prism. What is the volume of the remaining solid?

Here is my

The volume of the rectangular prism: 70∗50∗30=105000

The volume  in the center (intersection of “square holes”): 10∗10∗10=1000

=> the volume of the remaining solid = The volume of the rectangular prism - The volume  in the center = 105000 - 1000 = 104000

Step-by-step explanation:

Below are the complete question and solution.

step-by-step explanation:

12: 00 p.m. to 7: 00 p.m. is a total of 7 hours.

4: 00 p.m. to 7: 00 p.m. is a total of 3 hours.

this means that from 4: 00 p.m to 7: 00 p.m. this represents 3/7 of what was lost from 12: 00 p.m. to 7: 00 p.m.

after knowing this, after doing 11,600 - 6,800 = 4,800

4,800 represents 3/7 of what was lost for 7 hours.

we then divide 4,800 by 3 which gets 1,600.

because we know that 1,600 represents 1/7 of how much water was lost, we just have to multiply by 7, which gets 11,200.   after adding 11,200 to how much water was left at 7: 00 p.m. which was 6,800. 11,200 + 6,800 = 18,000

this means that the pool originally had 18,000 gallons in the pool.

you can also check your work by doing 18,000 - 4(1600), which becomes           1800 - 6400 which gets you 11,600.