The bases of a right prism are parallelograms with length of one of its sides a=8.5 cm and altitude to that side ha = 4 cm. Find the volume of the prism, if the height is h=14 cm.

Respuesta :

Actually, the answer is 476 because you multiply 8.5 times 4 times 14 to get 476.

Volume of prism is calculated by multiplying base area and height of the prism.

Volume of prism = [tex] Base area \times height [/tex]

Since the base of the prism is in the form of parallelogram.

Therefore, Volume of prism = Base area of parallelogram [tex] \times [/tex] height

Area of parallelogram = [tex] base \times height [/tex]

= [tex] 8.5 \times 4 cm^2 [/tex]

= 34[tex] cm^2 [/tex]

Therefore, Volume of prism = Base area [tex] \times [/tex] height

= [tex] 34 \times 14 cm^3 [/tex]

= 476[tex] cm^3 [/tex]

Therefore, the volume of the prism is [tex] 476cm^3 [/tex].

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