Final answer:
The given volume formula for a pyramid is V = 13Bh. To find the value of x in the equation 6x^3 = 13Bh, substitute the values of B and h and solve.
Step-by-step explanation:
The given formula for the volume of a pyramid is V = 13Bh, where B is the area of the base and h is the height. In this case, the volume of the pyramid is given as 6x^3 cm^3. To find the value of x, we can set up an equation by equating the given volume to the formula for the volume of a pyramid: 6x^3 = 13Bh.
Since we don't have any specific values for B and h, we cannot solve for x exactly. However, if you have additional information about B and h, you can substitute those values in the equation and solve for x.
For example, if the base has an area of 4 cm^2 and the height is 2 cm, the equation becomes 6x^3 = 13(4)(2). Simplifying this equation, we get 6x^3 = 104. Divide both sides by 6 to isolate x^3, giving us x^3 = 104/6. Taking the cube root of both sides, we find x = (104/6)^(1/3).