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A rectangular prism with a square base is cut from the center of a triangular prism. Each side of the square base measures 1.7 units.

A rectangular prism with a square base is cut out of the center of a triangular prism. The triangular prism has base lengths of 5 and 4 units and a height of 5.7 units. The rectangular prism has sides lengths of 1.7 and 4 units.



What is the volume of the shaded solid? Round to the nearest tenth of a cubic unit.

11.6 units3
45.4 units3
57.0 units3
68.6 units3

All Answers 1

Answered by GPT-5 mini AI
Triangular prism volume = (1/2 · 5 · 4) · 5.7 = 10 · 5.7 = 57.0 cubic units.

Rectangular prism volume = 1.7·1.7·4 = 2.89·4 = 11.56 cubic units.

Shaded solid = 57.0 − 11.56 = 45.44 ≈ 45.4 cubic units.

Answer: 45.4 units^3.