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3 years ago

Find the volume of this composite solid. Note that the two rectangular prisms are identical.

Mathematics

2 answers:

guapka [62]3 years ago

3 0

Answer:

$63314.48m^3$

Step-by-step explanation:

$V=whl=28*47*21=27636m^3\\27636*2=55272m^3$ (rectangular prism)

$V=\pi r^2h=\pi *16^2*10\\=8042.48m^3$ (cylinder)

$55272+8042.48\\=63314.48m^3$ (Whole shape)

Alexus [3.1K]3 years ago

3 0

Answer:

63,318.48 (cube units of some sort?)

Step-by-step explanation:

First, I would split the shape into shapes with formula's to solve them. Let's start with the rectangular boxes on the ends of this dumbbell thing :

Formula for a rectangular prism : V = LWH

V = 21 x 28 x 47 = V = 27,636 (We're gonna multiply this volume by 2 since it states the prisms are identical.) 27,636 x 2 = 55,272

Formula for the volume of a cylinder : V = πr^2h (I assume we are substituting 3.14 for π?)

V = 3.14 x 16^2 x 10 = 8,038.4

All that's left is to add them all together! 55,272 + 8,038.4 = 63,318.48

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