The volume of a hexagonal pyramid is represented by the expression 12x 3 cubic inches and its height is 24 inches. The area of the hexagonal base is(blank) x 3 square inches.

Respuesta :

Answer:

60 x 3 sqare inches

Step-by-step explanation:

12 x 3 is 36, plus 24 is 60. kind of easy actually.

Answer:

Area of the base of the pyramid will be [tex]\frac{3}{2}x^{3}[/tex] square inches.

Step-by-step explanation:

The volume of a hexagonal pyramid is represented by the formula

V = [tex]\frac{1}{3}\times (\text{area of the base}) \times height[/tex]

Now it is given in the question, Volume v = 12x³ cubic inches

Height of the pyramid h = 24 inches

Now we plug in the values in the formula

12x³ = [tex]\frac{1}{3}(\text{Area of the base})(24)[/tex]

12x³ = Area of the base × 8

Area of the base = [tex]\frac{12x^{3} }{8}[/tex]

                            = [tex]\frac{3x^{3}}{2}[/tex]

Therefore, area of the base of the pyramid is [tex]\frac{3}{2}x^{3}[/tex] square inches.