Question

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

Answer 1

15 inches

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