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4. After all of this gardening work, George decides he needs a new shed to replace the old one. His current shed is a rectangular prism that measures 6feet long by 5feet wide by 8feet high. He realizes he needs a shed with 480 cubic feet of storage. Use this to answer the questions below.
A. Will he achieve his goal if he doubles each dimension? Why or why not?
B. If he wants to keep the height the same, what could the other dimensions be for him to get the volume he wants?
C. If he uses the dimension in Part B, what could be the area of the new shed's floor?
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Answer:
b. 6 and 10
Step-by-step explanation:
The current shed is 240 cubic feet.
a. If he doubles each dimension, the shed will be oversize, because to find the volume, if he doubles each dimension, he multiplies them by 2, which gives a different volume from the volume he needs.
b. volume= length × breadth × height
480=l×b×8
l×b=480/8
=60.
∴Therefore, the other dimensions could be any 2 factors of 60 that can be multiplied by each other to give 60.
These include; 1 and 60; 2 and 30; 3 and 20; 4 and 15; 5 and 12; 6 and 10;
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