Arectangular prism has a height of 12 centimeters and a square base with sides measuring 5 cm. a pyramid with the same base and half the height of the prism is placed inside the prism as shown in the figure. the volume of the space outside pyramid but inside the prism is blank cubic centimeters

Volume of the empty space (outside pyramid) is 225 cm².

Step-by-step explanation:

Dimensions of the rectangular prism = 5cm × 5cm × 12cm

Volume of a triangle is represented by the expression,

= Length × Width × Height

   = 5×5×12

   = 300 cm²

A rectangular pyramid with half the height and same base of the prism, has been inserted inside the rectangular prism then,

Volume of pyramid is represented by the expression,

    =

    = 75 cm²

Therefor, volume of the space left in the blank prism

            = 225 cm²

180

step-by-step explanation: