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.
To find the volume of a right prism, we need to multiply the area of the base by the height.
Step 1: Find the area of the base
Since the bases of the prism are parallelograms, we can use the formula for the area of a parallelogram, which is base multiplied by the height.
The given length of one side of the base is a = 8.5 cm, and the altitude to that side is ha = 4 cm.
So, the area of one base of the prism, A_base, can be calculated as A_base = 8.5 cm * 4 cm.
Step 2: Calculate the volume
The height of the prism is given as h = 14 cm.
The volume of the prism, V, can be found by multiplying the area of the base by the height.
So, V = A_base * h.
Now we can substitute the values into the formula to find the volume of the prism.
V = (8.5 cm * 4 cm) * 14 cm
V = 34 cm* 14 cm
V = 476 cm^2
Therefore, the volume of the prism is 476 cm^3.
as always, volume is Base * height
I assume you know how to find the area of the parallelograms.