Answer:
13.4 cm is the height of the right rectangular prism
Step-by-step explanation:
Volume of a right rectangular prism(V) is given by:
[tex]V = lwh[/tex] .....[1]
where,
l is the length of the rectangular prism
w is the width of the rectangular prism and
h is the height of the rectangular prism
As per the statement:
A right rectangular prism has a volume of 2414.68 cm³. The length of the solid is 21.2 cm and the width is 8.5 cm.
⇒V = 2414.68 cm³ , l = 21.2 cm and w = 8.5 cm
Substitute these in [1] we have;
[tex]2414.68 = 21.2 \cdot 8.5 \cdot h[/tex]
⇒[tex]2414.68 = 180.2h[/tex]
Divide both sides by 180.2 we have;
13.4 cm = h
or
h = 13.4 cm
Therefore, the height of the right rectangular prism is, 13.4 cm
