Alphinaud decides he needs a new shed to replace the old one. His current shed is a rectangular prism that measures 2 feet long by 3 feet wide by 6 feet high. He realizes he needs a shed with 240 cubic feet of storage.

Part A: Will he achieve his goal if he doubles each dimension? Why or why not?

Part B: If he wants to keep the height the same, what could the other dimensions be for
him to get the volume he wants?

Q. What is the total surface area of the triangular prism shown? ... Q. A rectangular brick has a length of 5 centimeters, a width of 9 centimeters and a height of 20 ... He needs to calculate the lateral surface area of the shed so he will know how much paint to buy. ... The box is 3.2 feet long, 2.1 feet wide, and 2.7 feet high.

Step-by-step explanation:

linearly: 8560 bacteria

exponentially: approximately 75233 bacteria

step-by-step explanation:

assuming it is not exponential (we would have some really complicated logarithms), let's say it is linear. then, after 5 hours, it increased by 1200 bacteria, so every hour it increases by 240 bacteria. this means that after 19 hours, we get 19 * 240 + 4000 bacteria or 3800 + 760 + 4000 = 7800 + 760 = 8560 bacteria.

because it says round your answer, i will do this exponentially (with a calculator, of course). first, we need to find how much it multiplies by every hour, by taking the 5th root of 52/40 or 13/10. this is approximately 0.167. we still need to add 1 to this, because we are multiplying by that number, not adding that amount of the number. now, we just calculate 4000 * (1.167)^19. use a calculator to get approximately 75232.6, or 75233.

-6 is the correct option from the above given options