Find the volume of the composite solid. Round your answer to the nearest hundredth.
A. 239.23cm^3

B.246.08 cm ^3

C. 294.03 cm ^3

D. 308.78 cm^3

Find The Volume Of The Composite Solid. Round Your Answer To The Nearest Hundredth.A. 239.23cm^3B.246.08

Answers

Answer 1
to answer you need to fing the rectangular shape first so :

l×w×h

6.2*6.7*5.5= 228.47 cm cube

take away the top so

228.47-(6.2*6.7)
22.8.47-41.54
186.93 cm cube

then do the volume of pyramid : ( make sure to not add the base)

the answer is c




Answer 2

Answer:

C. [tex]294.03 cm ^3[/tex]

Explanation:

We must find two volumes, that of the quadrangular prism and that of the pyramid of the top and finally add them to get the total volume.

Quadrangular prism volume:

[tex]V_{1}=A_{b}*H[/tex]

where

[tex]A_{b}[/tex] is the base area

and H is the height

[tex]V_{1}=6.7cm*6.2cm*5.5=228.47cm^3[/tex]

Volume of the quadrangular pyramid:

[tex]V_{2}=\frac{A_{b}*H}{3}[/tex]

To find the value of height H we use pitagoras:

[tex]h=\sqrt{5.8^2-(6.7/2)^2} =4.7347cm[/tex]

Thus

[tex]V_{2}=\frac{(6.7cm*6.2cm)*4.7347cm}{3}=65.56cm^3[/tex]

The total volume is :

[tex]V=V_{1}+V_{2}=228.27cm^3+65.56cm^3=294.03cm^3[/tex]

Wich is option C.


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