A rectangular pyramid has a volume of 1.512 in 3, a height of 12 in., and a base length of 21 in. What is the width of its base?

18 inches

Step-by-step explanation:

Volume of a pyramid is:

V = ⅓ Ah

where A is the area of the base, and h is the height of the pyramid.

The base is a rectangle.  Area of a rectangle is width times length, so:

V = ⅓ wlh

Plugging in values and solving:

1512 = ⅓ w (21) (12)

w = 18

The width of the base is 18 inches.

use the power rule  

( a b ) n = a n b n

to distribute the exponent.

apply the product rule to  

3 x 2 y 3 . ( 3 x 2 ) 2 ( y 3 ) 2

apply the product rule to  

3 x 2 . 3 2 ( x 2 ) 2 ( y 3 ) 2

raise  

3

to the power of  

2 . 9 ( x 2 ) 2 ( y 3 ) 2 multiply the exponents in   ( x 2 ) 2

.

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 2 ⋅ 2 ( y 3 ) 2

multiply  

2   by   2 . 9 x 4 ( y 3 ) 2

multiply the exponents in  

( y 3 ) 2 .

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 4 y 3

⋅

2

multiply  

3   by   2 . 9 x 4 y 6

step-by-step explanation:

range is infinite on both x and y axis positive and negative

step-by-step explanation: