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.

The volume of the prism is 476 cm^3

Step-by-step 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

x =±sqrt(1/3)

step-by-step explanation:

x+4/6x=1/x

multiply each side by 6x to get rid of the fractions

6x*(x+4/6x)=1/x*6x

distribute

6x^2 +4 = 6

subtract 4 from each side

6x^2 +4-4 = 6-4

6x^2 =2

divide by 6

6x^2/6 = 2/6

x^2 = 1/3

take the square root of each side

sqrt(x^2) = ±sqrt(1/3)

x =±sqrt(1/3)

what is the answer?