keemstar823
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PLEASE HELP!! I’ll mark brainliest!! Image of the figure will be attached. 2.5 2.5 and 5 are the numbers! To get brainliest please leave work attached or explanation!!! Part c
Jackson has a second cube identical to the first. He cuts off the triangular prism as shown below and throws
it away.
What is the volume, in cubic centimeters, of the remaining solid? Show or explain all your work
Work:

PLEASE HELP Ill mark brainliest Image of the figure will be attached 25 25 and 5 are the numbers To get brainliest please leave work attached or explanation Par class=

Respuesta :

mhanifa

Answer:

  • 109.375 cm³

Step-by-step explanation:

The volume of the cube is:

  • V = a³ = 5³ = 125 cm³

The volume of the cut prism:

  • V = Bh, B- area of the base, h- height

The base is a right triangle with legs of 2.5 each.

The volume is:

  • V = 1/2*2.5*2.5*5 = 15.625 cm³

Required volume of the solid is the difference of the above volumes:

  • 125 - 15.625 = 109.375 cm³
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Answer:

[tex]\Large \boxed{\sf 109.375 \ cm^3}[/tex]

Step-by-step explanation:

Volume of remaining solid = Volume of cube - Volume of triangular prism

Volume of cube:

[tex]5^3=125[/tex]

Volume of triangular prism:

[tex]2.5 \times 2.5 \times 0.5 \times 5=15.625[/tex]

Volume of remaining solid:

[tex]125-15.625=109.375[/tex]

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