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stepladder [879]
3 years ago
14

What is the volume of the figure below if a = 4.5 units, b = 5.8 units, and c = 3 units?

Mathematics
1 answer:
Anastasy [175]3 years ago
3 0

Answer:

The answer to your question is the letter C

Step-by-step explanation:

Data

a = 4.5 u

b = 5.8 u

c = 3 u

Process

1.- Calculate the volume of the rectangular prisms

Formula

Volume = a x a x c

Substitution

Volume = 4.5 x 4.5 x 3

Result

Volume = 60.75 u³

But there are two rectangular prism

Total volume = 2 x 60.75

                      = 121.5 u³

2.- Calculate the volume of the triangles

Formula

Volume = base x width x height

Substitution

Volume = 5.8 x 3 x 4.5

Result

Volume = 78.3 u³

3.- Total volume

Volume = 121.5 + 78.3

             = 199.8 u³

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1. The figure is a prism: V = lwh = (12.1)(5.3)(4.2) = 269.3 cu. cm.


2. The figure is also a prism but the base is triangular: V = 1/2*b*h*l = 1/2*(13)*(sqrt(3)/2*13)*24 = 1756.3 cu. yd.


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