Respuesta :
Answer with Step-by-step explanation:
The volume of a rectangular pyramid is given by:
V=l×b×h
Where l is the length,b is the width and h is the height
Now, l'=l/2
b'=b/2
and h'=2h
V'=Volume of new pyramid
= l'×b'×h'
= l/2×b/2×2h
= lbh/2
=V/2
Hence, Volume of new pyramid=2×Volume of old pyramid
The true statement about the volume of the new pyramid is the new pyramid has a volume that is 2 times the volume of the original pyramid.
What is the true statement about the new pyramid?
A pyramid is a 3-dimensional shape that is made up of a rectangular base and 4 triangular faces.
Volume of a pyramid = 1/3 x (length base x height)
Assume the dimensions of the initial pyramid are:
- Height = 3cm
- Length = 6cm
- Width = 12cm
Initial volume = 1/3 x (3 x 6 x 12) = 72
The dimensions of the new pyramid are:
- Height = 3cm x 2 = 6cm
- Length = 6cm /2 = 3cm
- Width = 12cm / 2 = 6cm
New volume = 1/3 x (6 x 3 x 6) = 36
Relationship between the volumes = 72/36 = 2
Here are the options of this question:
The new pyramid has a volume that is 14 the volume of the original pyramid.
The new pyramid has a volume that is 12 the volume of the original pyramid.
The new pyramid has the same volume as the volume of the original pyramid.
The new pyramid has a volume that is 2 times the volume of the original pyramid.
To learn more about rectangle pyramid, please check: https://brainly.com/question/9222686
