Math and Arithmetic
Geometry

# What is the surface area and volume of a triangular-based pyramid?

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###### 2016-07-09 10:29:57

Volume_any_pyramid = 1/3 × area_base × perpendicular_height

For a triangular pyramid (tetrahedron) this becomes:

volume = 1/6 × base_width × base_height × pyramid_height

For the surface area there is no (easy) general formula: the area of the base triangle and the area of the three side triangles need to be worked out and added together.

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## Related Questions

The volume of a triangular pyramid can be found using the formula Volume=Base Area x height /3. Surface Area can be expressed as Surface Area =Base Area+0.5 x perimeter x side length.

The answer depends on the what characteristic of the pyramid you want the formula for: its surface area, its volume or something else.

It has to do with the surface area formula: To find the total surface area of a pyramid, use this equation: Surface Area = B + 1/2 * P * s B = base area P = perimeter of the base s = slant height To find the volume of a Pyramid, substitute into this equation: V=1/3Bh B=base area h=height of pyramid

The answer depends on what the formula is for: volume, surface area, height, area of base, etc; and on what information you have been given.

The surface-area-to-volume ratio may be calculated as follows: -- Find the surface area of the shape. -- Find the volume of the shape. -- Divide the surface area by the volume. The quotient is the surface-area-to-volume ratio.

To obtain the ratio of surface area to volume, divide the surface area by the volume.

if cells surface area is 6 and its volume is 1cm then what is its ratio of surface are volume to volume

They are both 3 dimensional shapes having surface area and volume.

where is the answer to what is meant by each of the following terms:cell volume, surface area, ratio of surface area to volume?

surface area/ volume. wider range of surface area to volume is better for cells.

The surface-area-to-volume ratio is the amount of surface area per unit volume of an object. The greater the diameter of the object, the less surface area it has relative to its volume.

You need to:* Calculate the surface area * Calculate the volume * Divide the surface area by the volume

The formula for a square pyramid is one square attached to four triangles which meet at a point.There are other formulae for the surface area or for the volume.

formula of the volume of a prism = (base area)(height) formula of the volume of a pyramid = (1/3)(base area)(height) therefore, to convert the volume of a prism to that of a pyramid, just divide it by 3

The volume for any pyramid = 1/3*base area*perpendicular height

Think of surface area as your skin and volume as all the contents inside your body. So they relate because surface area can hold volume or volume could be inside the surface area.

Surface area to volume ratio can be calculated by taking area and dividing by volume.

The relatonship between surface area and volume is the height of the depth. Surface area is alot taller than volume.

The answer will depend on what aspect the formula is for: the surface area or the volume being the most obvious options.

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