Explanation:
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the volume of any regular 3D object is
base area × height
so, the volume of the triangular prism is
triangle area × 10
a triangle area is
baseline × inner height / 2
and if I see this right, the triangle is right-angled. so the legs enclosing the 90° angle can be seen as baseline and inner height.
so, for the volume again, we get
baseline × inner height /2 × height = 3×8 /2 × 10 =
= 24 × 5 = 120 units³
the volume of a cone is
pi×r²×height/3
so, in our case
pi×5²×6/3 = pi×25×2 = 50pi = 157.0796327... units³
the volume of a cylinder is again base area ×height
pi×r²×height
so, in our case
pi×5²×8 = pi×25×8 = 200pi = 628.3185307... units³
the volume of a pyramid is
length×width × height / 3
so, in our case
3×4 × 6 / 3 = 12 × 2 = 24 units³