Question

the volume of this triangular prism is 1,590.435 cubic millimeters. what is the value of j? 9.9 mm j 17 mm j = millimeters submit

Explanation:

Step1: Recall volume formula for prism

Volume = Base area × Length
Base area of triangle: $\frac{1}{2}×9.9×j$
Length = 17 mm
So Volume = $\frac{1}{2}×9.9×j×17$

Step2: Set up equation

$\frac{1}{2}×9.9×17×j = 1590.435$

Step3: Calculate coefficient

$\frac{1}{2}×9.9×17 = 84.15$

Step4: Solve for j

$j = \frac{1590.435}{84.15}$

Step5: Compute value

$j = 18.9$

Answer:

18.9