Question

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.

Answer 1

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

Answer 2

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

Volume of prism =
`Base area * height`

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

Therefore, Volume of prism = Base area of parallelogram
`*` height

Area of parallelogram =
`base * height`

=
`8.5 * 4 cm^2`

= 34
`cm^2`

Therefore, Volume of prism = Base area
`*` height

=
`34 * 14 cm^3`

= 476
`cm^3`

Therefore, the volume of the prism is
`476cm^3`.