The square pyramid has a volume of 441 cubic inches. what is the value of x? 1/7x is the height x is the base

x = 96.23   if  x is the area of the base

x =21          if x is the side length of the base

Step-by-step explanation:

The volume of a square pyramid is given by

V=1/3 a^ 2 h

We know the volume is 441 and the area of the base is a^2 which is x

and the height is 1/7x

Substituting these values in

441 = 1/3 (x) 1/7x

441 =1/21 x^2

Multiply each side by 21

441*21 = 21*1/21 x^2

9261 = x^2

Take the square root of each side

sqrt(9261) = sqrt(x^2)

x = 96.23

I am thinking you mean x is the side length on the base

We know the volume is 441 and the area of the base is a^2 which is x^2

and the height is 1/7x

Substituting these values in

441 = 1/3 (x^2) 1/7x

441 =1/21 x^3

Multiply each side by 21

441*21 = 21*1/21 x^3

9261 = x^3

Take the cube root of each side

(9261) ^ (1/3) = (x^3)^(1/3)

21 =x

Step-by-step explanation:

The formula of a volume of a square pyramid:

a - edge of base

H - height

We have

Substitute:

Use calculator:

or

step-by-step :