Centimeters 6593

What is the height of a prism with the base of a right triangle with squares of eight centimeters and ten centimeters and a volume of 0.098 cubic decimetres?

Correct answer:

h =  1.225 cm

Step-by-step explanation:

$$\begin{gathered} a=8\text{cm} \\ b=10\text{cm} \\ V=0.098{\text{dm}}^3\to {\text{cm}}^3=0.098\cdot 1000{\text{cm}}^3=98{\text{cm}}^3 \\ {S}_1=a\cdot b=8\cdot 10=80{\text{cm}}^2 \\ V=S_1\cdot h \\ h=V/S_1=98/80=1.225\text{cm} \end{gathered}$$

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