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How do you calculate the volume of a pyramid that has no top ie that has a large square base and a small square top?
You calculate the volume of a pyramid by multiplying one third of the base area by the perpendicular height.
1/3 Area of base x Height
Depending on what you know of the pyramid, one of these methods determines the volume.
Method 1:
- Calculate the volume of the whole pyramid including the missing piece at the top (which is a small pyramid by itself)
- Calculate the volume of the small missing pyramid.
- Subtract the small volume of the small pyramid (step 2) from the volume of the large pyramid (step 1)
Method 2:
The difficulty for the above described method may be to determine the height of the pyramid in both step 1 and step 2. If you only know the height of the base till the top square, you can use the formula below to directly calculate the volume.
Assume the base is a * b and the small square on top c * d, with a and c on the same side (also for b and d). The height of the pyramid (from base to small square on top) is h.
We can split the top-off-pyramid in nine pieces. A block from top square to base, four pieces directly adjacent to this block and four corner pieces. This nice thing about this splitting is that we can form four new shapes from which we can easily determine the volume. The corner pieces together form a whole pyramid, 2 pieces adjacent to the block in 1 direction form a prism, as well as the other two and we have a rectangular block. I.e. we can form four new shapes of which we know the bases and the heights.
The volume of a prism is 1/2 Area of triangle * length
1. Assign a and b to the base sides and c and d to their corresponding top sides.
2. The volume of the top-off-pyramid will be (after simplification):
Volume of Block + Volume of pyramid + Volume of prism1 + Volume of prism2 =c d h+ 1/3 * h (a - c) * (b - d)
+ 1/2 * h (a - c) * d
+ 1/2 * h (b - d) * c--------------------------------1/3 h (a b + 1/2 a d + 1/2 b c + c d)
This formula shows that when c and d are 0, we will get the original pyramid formula back.
What else can I help you with?
What are the two large pyramids at teotihuacan?
the pyramid of the sun and the pyramid of the moon
What is the volume of a large jug?
There is no standard volume.
When a substance has a large density a mass fits into a volume?
"large density" ===> (relatively large mass) fits into (relatively small volume)
A large cube is made of 1cm cubes what is the volume of large cube?
1
What is a large pyramid shaped structure formed from a series of stacked rectangular platforms?
A Ziggurat
HttpwikianswerscomQHow do you caluclate the volume of a pyramid that has no top IE that has a large square base and a small square top?
you calculate the pyramid then deduct the portion you dont want
What is the best unit of measure that you would use to measure a square pyramid?
The best unit of measure to use for measuring a square pyramid would be cubic units (e.g., cubic inches, cubic feet). This is because a square pyramid is a three-dimensional shape that occupies space, and measuring its volume in cubic units would accurately represent the amount of space it occupies.
How large is the largest pyramid?
the bigest pyramid whas calellellelelelle
What are the two large pyramids at teotihuacan?
the pyramid of the sun and the pyramid of the moon
Why did Khufu build a large pyramid?
He wanted a large monument
A large flattened pyramid with several flatend stories and a temple at the top?
Step Pyramid.
What purpose did the outer buildings surrounding a large pyramid serve?
The building surrounding a large pyramid serve as mortuary temples for the deceased pharaoh. The Great pyramid in Egypt has two temples one located closed pyramid and one on the Nile.
What are the names of 2 very large pyramids in Teotihuacan?
The Pyramid of the Sun, and the smaller Pyramid of the Moon.
How do you calculate the scale factor if you have the scale?
You calculate the scale factor if you do have a scale is by dividing if it is a small shape to a large shape and multiplying if it is a large shape to a small shape example: shape 1 sqaure shape 2 square equation 2 10 10/2=5 shape 2 square shape 2 square equation 10 2 2/10
Is there a pyramid on Mars?
A naturally formed rock resembling a pyramid, or some natural ground formation? why not? A large designed engineered and constructed pyramid? No.
What is the volume of a large jug?
There is no standard volume.
Egyptian large stone coffin?
It is a pyramid or sarcophagus.
