Question

texascollegebridge edready presented by nroc yaricta guerrera study paths tx math bridge - stage 1 topic test: solids solids topic: solids question id: mc2522 progress: the movement of the progress bar may be uneven because questions can be worth more or less (including zero) depending on your answer. the three - dimensional figure below is a solid rectangular prism with a hole in the shape of another rectangular prism going through the center of it. find the volume of the solid in cubic centimeters. (there is a diagram of a rectangular prism with length 12 cm, width 3 cm, height 3 cm, and a hole (smaller rectangular prism) with length 12 cm, width 1 cm, height 1 cm) 96 cubic centimeters 48 cubic centimeters 108 cubic centimeters 120 cubic centimeters

Explanation:

Step1: Calculate outer prism volume

Volume of outer prism = $l \times w \times h = 12 \times 3 \times 3 = 108$ cm³

Step2: Calculate hole volume

Volume of hole (inner prism) = $l \times w \times h = 12 \times 1 \times 1 = 12$ cm³

Step3: Find solid volume

Solid volume = Outer volume - Hole volume = $108 - 12 = 96$ cm³

Answer:

96 cubic centimeters