The ratio if the base edges of two similar pyramids is 3: 4 the volume of the larger pyramid is 320 in^3. what is the volume of the smaller

135 cubic inches.

Step-by-step explanation:

Given : The ratio of the base edges of two similar pyramids is 3:4

           The volume of the larger pyramid is 320 cubic inches.

To Find: What is the volume of the smaller pyramid?

Solution:

The ratio of the base edges of two similar pyramids is 3:4

The volume of the larger pyramid is 320 cubic inches.

The ratio of the volume of pyramids is equal to the ratio of the cubes of the sides of pyramids .

So,

Thus the volume of smaller pyramid is 135 cubic inches.

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.