Question

Please help!!
Only find total surface area and volume.

Answer 1

see explanation

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 ×
`(1)/(2)` × 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 =
`(1)/(2)` × 8 × 6 = 24 cm² and h = 2 cm

V = 24 × 2 = 48 cm³