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Who calculated the volume of a pyramid and cone?
The volume of a pyramid and a cone was first calculated by the ancient Greek mathematician Archimedes. He derived the formulas for these shapes, showing that the volume of a pyramid is one-third the product of its base area and height, and similarly, the volume of a cone is one-third the base area multiplied by its height. Archimedes' work laid the foundation for the principles of geometry and calculus that we use today.
What is the volume of solid of pyramid and its example?
The volume ( V ) of a pyramid is calculated using the formula ( V = \frac{1}{3} \times \text{Base Area} \times \text{Height} ). This means that the volume is one-third of the product of the area of the base and the height of the pyramid. An example of a pyramid is the Great Pyramid of Giza, which has a square base and four triangular faces.
How do you change the height of a square pyramid so that its volume would remain the same when the area of the base is tripled?
It must be made a third of its current value, ie divided by 3. The volume of a pyramid is 1/3 x area_base x height. The 1/3 is constant; to keep the volume constant as the base_area changes, the height must vary inversely. If the base_area is tripled, ie multiplied by 3, the height must be reduced to a third, ie divided by 3.
How to find the height of a pyramid with a square base?
well if volume= 1/3 (h*w) then.... h= (v/w)/1/3 height is equal to volume divided by width divided by a third??? think this is right...... :S
How are the volumes of right pyramid and right cone related to the volume of a right prism and right cylinder?
The volume of the pyramid and cone is one third the volume of the corresponding (ie same [size] base and height) prism and cylinder.
What do you use to measure the volume of a square pyramid?
You can use the formula V = (1/3) × b^2 × h, where b is the base length of the square pyramid and h is the height of the pyramid. This formula calculates the volume of a square pyramid by taking one-third of the base area multiplied by the height.
Who calculated the volume of a pyramid and cone?
The volume of a pyramid and a cone was first calculated by the ancient Greek mathematician Archimedes. He derived the formulas for these shapes, showing that the volume of a pyramid is one-third the product of its base area and height, and similarly, the volume of a cone is one-third the base area multiplied by its height. Archimedes' work laid the foundation for the principles of geometry and calculus that we use today.
How is the volume in pyramid formula one third base of base and height can someone explain?
See link for an explanation
What is the volume of solid of pyramid and its example?
The volume ( V ) of a pyramid is calculated using the formula ( V = \frac{1}{3} \times \text{Base Area} \times \text{Height} ). This means that the volume is one-third of the product of the area of the base and the height of the pyramid. An example of a pyramid is the Great Pyramid of Giza, which has a square base and four triangular faces.
If the volume of a prism is 999 square inches what is the volume of a pyramid with the same base?
If the VOLUME is 999 SQUARE inches then you have gone wrong. SQUARE inches are a measure of AREA VOLUME is measured in CUBIC units. Assuming you meant The volume of a prism is 999 CUBIC inches, then the volume of a pyramid with the same height is indeterminate (cannot be given), as there is NO INDICATION of how the height of the pyramid relates to the height of the prism. So, ASSUMING you mean the volume of a prism is 999 CUBIC inches AND the HEIGHT of the pyramid is the same as the height of the prism, then the volume of the pyramid is one third that of the prism, ie 999 cu in ÷ 3 = 333 CUBIC inches.
How do you Find the volume of a square pyramid with a base side length of 17 and a height of 19?
Volume=the area of the base times height divided by 3, so 289x19/3 which equals 1830 and one third.
How do you change the height of a square pyramid so that its volume would remain the same when the area of the base is tripled?
It must be made a third of its current value, ie divided by 3. The volume of a pyramid is 1/3 x area_base x height. The 1/3 is constant; to keep the volume constant as the base_area changes, the height must vary inversely. If the base_area is tripled, ie multiplied by 3, the height must be reduced to a third, ie divided by 3.
How to find the height of a pyramid with a square base?
well if volume= 1/3 (h*w) then.... h= (v/w)/1/3 height is equal to volume divided by width divided by a third??? think this is right...... :S
How are the volumes of right pyramid and right cone related to the volume of a right prism and right cylinder?
The volume of the pyramid and cone is one third the volume of the corresponding (ie same [size] base and height) prism and cylinder.
What is the volume of a ramp?
I think since a ramp is a rectangular pyramid you would use the formula Volume= one-third times length times width times height
Volume of an oblique cone?
Find the perpendicular height from the apex to the base.The volume is one third of the base area times the perpendicluar height.
Find the volume of a cone with the height 6cm and the diameter 7cm?
Around 77 cm2. volume=(one third)(pi)(radius squared)(height)
