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Find the volumes of each solid, help me please :)

Find the volumes of each solid, help me please :)-example-1
User El Padrino
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1 Answer

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Explanation:

you did not find the formulas on the internet and/or don't have a calculator ?

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

User Dr Nic
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