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morpeh [17]
3 years ago
8

Given a rectangular pyramid and a rectangular prism that have the same base and same height, how do their volumes compare? If th

e pyramid was full of water, how much of the prism would it fill up? Name another pair of three-dimensional objects that have a relationship similar to this.
Mathematics
1 answer:
Luden [163]3 years ago
4 0
We know that
volume of <span>a rectangular prism =B*h------> equation 1
where
B is the area of the base
h is the height 

volume of </span><span>a rectangular pyramid=(1/3)*B*h-----> equation 2
where
</span>B is the area of the base
h is the height 
<span>
substitute equation 1 in equation 2
</span>volume of a rectangular pyramid=(1/3)*volume of a rectangular prism
<span>
the answer part a) is
</span>volume of a rectangular pyramid=(1/3)*volume of a rectangular prism
<span>
Part b) </span><span>If the pyramid was full of water, how much of the prism would it fill up?
</span>
the answer part b) is
<span>If the pyramid was filled with water, the prism would only fill 1/3 of its volume

Part c) </span><span>Name another pair of three-dimensional objects that have a relationship similar to this

cones and cylinders

</span>volume of a cylinder =B*h------> equation 1
where
B is the area of the base
h is the height <span>

</span>volume of a cone=(1/3)*B*h-----> equation 2
where
B is the area of the base
h is the height 

substitute equation 1 in equation 2
volume of a cone=(1/3)*volume of a cylinder
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