denise is designing a stroage box in the shape of a cube. Each side of the box has a length of 10 inches. She needs more room and decides to construst a large box in the shape of a cube with a volume of 2,000 cubic inches. By how many inches, to the NEAREST TENTH, should she INCREASE the length of each side of the origional box?
mu question is that how do you start this problem?
please help!!! me out......thnx
(s+10)^3=2000= 2*1000
take the cube root of each side
s+10=10*cuberoot2
s= 10(cube root(2) -1)
put this in the google search window
10(cube root(2) -1)
and you will get the answer on how much each side will have to be increased.
Thank you bobpursley.........i apperaciate it for helping me out....thnx again...:)
To start this problem, we need to find the volume of the original box and compare it to the desired volume of 2,000 cubic inches.
The original box is a cube, and each side has a length of 10 inches. The volume of a cube is found by multiplying the length of one side by the length of another side and then again by the length of the last side. In this case, since all sides are equal, you can simply cube the length of one side:
Volume of original box = length * length * length = 10 inches * 10 inches * 10 inches = 1000 cubic inches
Now, we can compare the volumes:
Desired volume = 2000 cubic inches
Volume of original box = 1000 cubic inches
To find the amount by which Denise needs to increase each side of the original box, we subtract the original volume from the desired volume:
Amount to increase = Desired volume - Volume of original box = 2000 cubic inches - 1000 cubic inches = 1000 cubic inches
Now, since we are looking for the increase in each side length, we need to take the cube root of the amount to increase:
∛(Amount to increase) = ∛(1000 cubic inches) ≈ 10 inches
So, Denise should increase the length of each side of the original box by approximately 10 inches to achieve a volume of 2,000 cubic inches.