Two square pyramids have the same volume. for the first pyramid, the side length of the base is 15 in., and the height is 18 in. the second pyramid has a height of 54 in. what is the side length of the base of the second pyramid?

Volume for a square pyramid uses the formula V = a^2 x h/3

Volume for the first pyramid = 15^2 x 18/3 = 225 x 6 = 1350 cubic inches.

The second pyramid has the same volume, so we can use the volume from the first one to solve for the side length:

Second pyramid: 1350 = a^2 x 54/3

1350 = a^2 x 18

a^2 = 1350 / 18

a^2 = 75

a = √75 = 8.66 inches

true statements:

a) x + y = y + x   ⇒ commutative property of addition

b) (x * y) * z = x * (y * z) ⇒ associative property of multiplication

d) (x + y) + z = x + (y + z) ⇒ associative property of addition

false statements:

c) x - y = y - x   should be: x - y = - y + x

e) (x - y) - z = x - (y - z) should be: (x - y) - z = x - (y + z)

step-by-step explanation: