The height of a square pyramid-shaped gift box is one half the length of each side. The volume of the box is 4,500 in.? How many inches high
is the box
PLEASE HELP

15 inches

Step-by-step explanation:

Volume of a pyramid = 1/3 x ( length² x height)

4500 = 1/3 x ( length² x height)

height = 1/2 x length

4500 = 1/3 x ( length² x 1/2length)

multiply both sides of the equation by 6

27000 =  ( length² x length)

find the cube root of 27300

length = 30

height = 1/2 x 30 = 15in

i think 1: 2

step-by-step explanation:

let's call the solutions x₁ = (5 - 2√7)/3 and x₂ = (5 + 2√7)/3

then the equation is (x-x₁)(x-x₂) = 0

if you fill that in you get a lot of numbers which you can recognize as ax²+bx+c=0.

step-by-step explanation:

you can see that a=1 (there is just an x²)

b = (-5 -2√7 + 2√7 - 5)/3 = -10/3

c = -2√7)/3 ) * (-5+2√7)/3) = -1/3

so your answer is 3x^2 – 10x – 1 = 0