The volume of a rectangular parallelepiped is 162. the three dimensions are in a ratio 1:2:3. Find the total area.
a 198
b 197
c 196
d 195
a 198
b 197
c 196
d 195
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Answer is a.
First of all, express the volume of the rectangular parallelpiped in terms of x. Which is
(x)(2x)(3x)=162. It is given the ration of the dimensions is 1:2:3.
Solve the equation for x. 6x^3=162 ---> x^3=27 -----> x=3 Therefore, the sides are 3, 6, 9 units long respectful with the ratio.
Total area is 2[(3*6+6*9+3*9)]=198
Hope this explanation helped =]
First of all, express the volume of the rectangular parallelpiped in terms of x. Which is
(x)(2x)(3x)=162. It is given the ration of the dimensions is 1:2:3.
Solve the equation for x. 6x^3=162 ---> x^3=27 -----> x=3 Therefore, the sides are 3, 6, 9 units long respectful with the ratio.
Total area is 2[(3*6+6*9+3*9)]=198
Hope this explanation helped =]