Acandy bar box is in the shape of a triangular prism. the volume of the box is 2,400 cubic centimeters. part a: what is the height of the box? show your work. (5 points) part b: what is the approximate amount of cardboard used to make the sides of the candy box? explain how you got your answer. (5 points)

Volume = 2,400cm^3

Volume = 1/2 (16)(h)(20)

2,400cm^3/160 = 160(h)/160

ANSWER to Part A: 15cm^3 = height of the box

Surface Area = 1/2 (15x16)(2) + 20(17)(2) + 16(20)

Surface Area = 240 + 680 + 320

Surface Area = 1,240

ANSWER to Part B: You will need approximately 1,240cm of cardboard

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.