The rectangular prism and rectangular pyramid below have the same volume. Determine the value of x, the length of the prism.

ANSWER

= 9

EXPLANATION

The volume of a rectangular prism is given by the formula,

= x x

We substitute the dimensions to obtain,

= 6 x 3 x 12

The volume of the rectangular pyramid is,

= x 6 x 12 x

Equating the two values gives,

x 6 x 12 x = 6 x 3 x 12

We divide through by 6×12 to get,

= 3

We solve for x to obtain,

= 3 x 3

= 9

Hope this helps! Happy Monday!

idek

step-by-step explanation: