Asquare pyramid has a height of 6 units and a volume of 70 units3. if a square prism has the same base area and volume as the square pyramid, what is its height? 2 units 4 units 6 units 8 units

The height is 2 units

Step-by-step explanation:

Find the area of the base of the square pyramid

we know that

The volume of the square pyramid is equal to

where

B is the area of the base and H is the height of the pyramid

we have

substitute in the formula and solve for B

step 2

Find the height of the square prism

we know that

The volume of the square prism is equal to

where

B is the area of the base and h is the height of the prism

we have

substitute in the formula and solve for h

x = 17

step-by-step explanation:

in the given figure, two triangles are inscribed in a circle where ∠bae ≅ ∠dae which makes the side be and de equal so we can write it as:

3x - 24 = x + 10

solving this equation for x to get:

3x - x = 10 + 24

2x = 34

x = 34/2

x = 17

therefore, the value of x = 17.