Question

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.

Answer 1

60 x 3 sqare inches

Explanation:

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

Answer 2

Area of the base of the pyramid will be
`(3)/(2)x^(3)` square inches.

Explanation:

The volume of a hexagonal pyramid is represented by the formula

V =
`(1)/(3)* (\text{area of the base}) * height`

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 =
`(1)/(3)(\text{Area of the base})(24)`

12x³ = Area of the base × 8

Area of the base =
`(12x^(3) )/(8)`

=
`(3x^(3))/(2)`

Therefore, area of the base of the pyramid is
`(3)/(2)x^(3)` square inches.