A rectangular prism has side lengths of 4 inches, 6 inches, and 7 inches. If all side lengths are multiplied by 5, what happens to the surface area.
2 answers:
Answer:
C
Step-by-step explanation:
The surface are of the prism will be the area of a each side added together. The work would look like this:
SA = 2[(l×h)+(l×b)+(b×h)]
SA = 2(lh+lb+bh)
But if you multiply each dimension by 5, the area becomes
SA = 2[(5l×5h)+(5l×5b)+(5b×5h)]
SA = 2(5²lh+5²lb+5²bh)
SA = 5²×2(lh+lb+bh)
SA = 5²area
Since 5² = 25, then the the surface area is multiplied in size by 25.
Most likely your answer would be A
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