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Curtis builds a doghouse with base shaped like a cube and a roof shaped like a pyramid. the cube has an edge length of 3 1/2 feet. the height of the pyramid is 5 feet. find the volume of the doghouse rounded to the nearest tenth.

User Binoy Babu
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Answer:

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Explanation:

This was on edge 2021

User Tomazi
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To determine the volume of the doghouse, we simply have to add the volume of the cube and the pyramid which may be obtained by the equations below.
volume of cube = e³
where e is the length of the side
volume of pyramid = e²h / 3

Substituting the known values to the equation,
volume of cube = (3.5 ft)³ = 42.875 ft³
volume of pyramid = (3.5 ft)²(5 ft) / 3 = 20.42 ft³
Adding up these volumes will give us an answer of 63.29 ft³.
User Prawn
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