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The solid below is made of a 14x14x14 cube with a square based pyramid of height h24 on top of it. What is the total volume of the solid?h

The solid below is made of a 14x14x14 cube with a square based pyramid of height h-example-1
User Debie
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1 Answer

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Given:

Dimensions of the cube: 14 × 14 × 14

The height of the square pyramid: 24

To find:

The volume of the given solid.

Step-by-step solution:

We know that:

The volume of the cube = a³

The volume of the square pyramid = a² (h/3)

The Total volume of the figure = The volume of the cube + The volume of the square pyramid.

The Total volume of the figure = a³ + a² (h/3)

The Total volume of the figure = (14)³ + (14)² (24/3)

The Total volume of the figure = 2744 + 196 × 8

The Total volume of the figure = 2744 + 1568

The Total volume of the figure = 4312 cube units

Final answer:

Thus we can say that the final volume of the figure is 4312 cube units.

User MrPavanayi
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