Centimeters 6604

A four-sided prism has a volume of 648 cubic centimeters. The trapezoid that is its base has the dimensions a is equal to 10 centimeters, c is equal to eight centimeters, and height v is equal to 6 centimeters. Calculate the height of the prism.

Correct answer:

h =  12 cm

Step-by-step explanation:

$$\begin{gathered} V=648{\text{cm}}^3 \\ a=10\text{cm} \\ c=8\text{cm} \\ v=6\text{cm} \\ S=(a+c)\cdot v/2=(10+8)\cdot 6/2=54{\text{cm}}^2 \\ h=V/S=648/54=12\text{cm} \end{gathered}$$

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