Question

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

Answer 1

The volume of the prism is 476 cm^3

Explanation:

Mathematically, the volume of a right prism can be calculated using the formula area of the base * height of the prism

Here, the base is a parallelogram and thus, the area of the base can be calculated using the formula A = bh where b is the parallelogram base and h is the height

in the question the parallelogram has a base of 8.5cm with the height at that point as 4cm

The area of that parallelogram is thus 4 * 8.5 = 34 cm^2

the volume of the right pyramid is thus 34 * 14 = 476 cm^3