The volume of the shaded solid rounded to the nearest tenth of a cubic unit is 45.4 cubic units
The formula for calculating the volume of a rectangular prism is expressed as:
Vr = Length * width * height
The volume of the triangular prism Vt = Base area * height
For the rectangular prism;
Vr = 1.7 × 1.7 × 4
Vr = 11.56 units³
For the triangular prism
Vt = 0.5 × 5.7 × 5 × 4
Vt = 57 units³
The volume of the shaded solid = Vt - Vr
The volume of the shaded solid = 57 - 11.56
The volume of the shaded solid = 45.44 cubic units
Hence the volume of the shaded solid rounded to the nearest tenth of a cubic unit is 45.4 cubic units.
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