# The base of the straight prism is a rhombus, the diagonals of which are one 6cm and the other 8cm

September 12, 2021 | education

| **The base of the straight prism is a rhombus, the diagonals of which are one 6cm and the other 8cm, the back edge of the prism is 20cm. The volume of the prism is?**

Since the prism is straight, its lateral faces are perpendicular to the plane of the base, and then the volume of the pyramid will be equal to: Vpir = Sbasn * AA1.

At the base of the prism, by condition, there is a rhombus with diagonals of 6 cm and 8 cm, then Sbn = АС * ВD / 2 = 8 * 6/2 = 24 cm2.

Then Vprice = 24 * 20 = 480 cm2.

Answer: The volume of the prism is 480 cm2.

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