Quadrilateral 82747

Construct a 3D model of a quadrilateral pyramid with a rectangle base and sides of isosceles triangles, with a volume of 80 cubic cm. I need to know the sides and the height.

Correct answer:

a =  5 cm
h =  9.6 cm

Step-by-step explanation:

$$\begin{gathered} V=80{\text{cm}}^3 \\ V=\frac{1}{3}\cdot a^2\cdot h \\ a=5=5\text{cm} \end{gathered}$$

$h=\frac{3\cdot V}{a^2}=\frac{3\cdot 80}{5^2}=\frac{48}{5}\text{cm}=9.6\text{cm}$

Try another example