What is the volume of the square pyramid? Round to the nearest hundredth, if needed.

524.33 mm 3

1,573 mm 3

619.67 mm 3

1,859 mm 3

The answer to your question is Volume = 524.33 mm³

Step-by-step explanation:

Data

Length = 11 mm

width = 11 mm

height = 13 mm

Formula

Volume of a square pyramid = 1/3 Ab x h

Substitution

Ab = 11 x 11

Ab = 121

Volume = 1/3 (121)(13)

Simplification

Volume = 1/3(1573)

Result

Volume = 524.33 mm³

true

explanation:

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: