The surface area of a rectangular prism is 198 cm2. Two of the dimensions are 3 cm and 9 cm. Find the measure of the other dimen
1 answer:
In this question, it is given that two of the dimensions are 3 cm and 9 cm . Let the other dimension be x cm .
And the surface area of the rectangular prism is given. Now we use the formula of surface area of prism, which is
Subtracting 27 to both sides,
Dividing both sides by 12
So the length of the remaining dimension is 6 cm .
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Hello again! So we will be using the pythagorean theorem (
) to solve for the bottom leg of the triangles. After we do that, we'll subtract the value of the legs from 31, and that'll be x.
Plug in 17 and z (or any variable that isn't x) into the leg variable and 19 into the hypotenuse variable, and from there we can solve.
Solve the exponents to get
Subtract 289 on each side to get
Lastly, square root each side of the equation and your answer should be
(To get more accurate answers, you shouldn't round until the end of the problem)
Nextly, we will need to subtract
from 31. And since there are 2 triangles, you'll need to multiply by 2.
In short, x = 14.0
Plug in 17 and z (or any variable that isn't x) into the leg variable and 19 into the hypotenuse variable, and from there we can solve.
Solve the exponents to get
Subtract 289 on each side to get
Lastly, square root each side of the equation and your answer should be
Nextly, we will need to subtract
In short, x = 14.0