What is the least and greatest amount of surface area possible on a rectangular prism with a volume of 64 cubic inches and whole
number side length?
1 answer:
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ANSWER
EXPLANATION
The required equation passes through:
(4,3) and is perpendicular to x+y=4.
Rewrite the given equation in slope-intercept form:
The slope of this line is -1.
The slope of the required line is perpendicular to this line, so we find the negative reciprocal of this slope.
The equation of the line can be found using:
We substitute the slope and point to obtain:
We simplify to get:
The required equation is
EXPLANATION
The required equation passes through:
(4,3) and is perpendicular to x+y=4.
Rewrite the given equation in slope-intercept form:
The slope of this line is -1.
The slope of the required line is perpendicular to this line, so we find the negative reciprocal of this slope.
The equation of the line can be found using:
We substitute the slope and point to obtain:
We simplify to get:
The required equation is
Eighths and their multiples are common fractions which I recommend memorizing, but to actually solve this, you use the literal meaning of a fraction and divide 5 by 8. See the long-division below (it was surprisingly difficult to type, so I hope it helps!).
To round 0.625 to the nearest hundredth, we go to the second decimal place, which is 5, so we round up to 0.63.
To round 0.625 to the nearest hundredth, we go to the second decimal place, which is 5, so we round up to 0.63.