What is the volume of a square pyramid with a base length of 6 cm and a height of 9 cm? enter your answer in the box. __ cm³

Step-by-step explanation:

we know that

The volume of a pyramid is equal to

where B is the area of the base of the pyramid

h is the height of the pyramid

Step 1

Find the area of the base B

The area of a square is equal to

where

b is the length side of the square

we have

substitute

Step 2

Find the volume of the pyramid

we have

substitute

the battle of gettysburg is considered the "high water mark" of the confederacy because it marked the greatest advance of the confederate forces against the union.

7.9m and 4.3°

step-by-step explanation:

let east be +x and north be +y, x = distance * cos θ, y = distance * sin θ  

for 3.5 south, y = -3.5  

for 8.2, x = 8.2 * cos 30 and y = 8.2 * sin 30  

for 15 west, x = -15  

total x = 8.2 * cos 30 – 15 ≈ -7.9  

total y = -3.5 + 8.2 * sin 30 = 0.6  

magnitude = [(8.2 * cos 30 – 15)^2 + 0.6^2)]^0.5  

the magnitude is approximately 7.9 m  

tan θ = y/x = 0.6/-7.9  

the angle is approximately 4.3˚ north of west