The dimension of the edges in a right rectangular prism have the ratio 3:7:13. The volume of the prism is 1350 cm3. What is the length of the shortest side? (Round your answer to one decimal place.)

Question

anonymous · Answer

A ratio of 3:7:13 can be represented algebraically as 3x:7x:13x.

The volume of a prism is length x width x height

Since the volume is 1350, your equation is
(3x)(5x)(13x) = 1350

Try solving this equation.

anonymous · Answer

6.9

anonymous · Answer

x^3 = 6.92308

so what is x equal to?

anonymous · Answer

2.3076

anonymous · Answer

No. I get x = 1.9059

anonymous · Answer

|dw:1384540245765:dw|

anonymous · Answer

So the length of the shortest side is what?

The shortest side will be the side represented by 3x.

So what's the length of the shortest side?

anonymous · Answer

@Pash007  ?

anonymous · Answer

3(1.9059) = 5.7177

anonymous · Answer

Corrected. So 5.7 to the nearest tenth (as you directions asked to round to one decimal place).

anonymous · Answer

i have a question... In the first part of the equation.. (3x)(5x)(13x) = 1350 , why wasn't 7x used?

anonymous · Answer

Oh my...I read that 7 as a 5...so (3x)(7x)(13x) = 1350

sorry, my error in reading the numbers correctly.

anonymous · Answer

so 273x^3 = 1350
x^ 3 = 4.94505
x = 1.703

so shortest side is 3(1.7030) = 5.1 to nearest tenth.
My apologies.
@Pash007