Answer:
see explanation
Step-by-step explanation:
The triangular prism has 3 rectangular faces and 2 congruent triangular faces.
rectangular base CDEF = 8 × 2 = 16 cm²
rectangular side ABFE = 6 × 2 = 12 cm²
sloping rectangle ABCD = 10 × 2 = 20 cm²
2 triangular faces = 2 × [tex]\frac{1}{2}[/tex] × 8 × 6 = 48 cm²
Total surface area = 16 + 12 + 20 + 48 = 96 cm²
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The volume (V) of the prism is calculated as
V = Bh ( B is the area of triangular face and h the depth of the prism )
B = [tex]\frac{1}{2}[/tex] × 8 × 6 = 24 cm² and h = 2 cm
V = 24 × 2 = 48 cm³
