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What is the volume of a regular decagonal prism with a perimeter of 100 cm and a length of 10 cm?
The regular 10 sided decagon will consist of 10 congruent isosceles triangles with equal base angles of 72 degrees and an apex angle of 36 degrees and a base length of 10 cm.
Length of equal sides: 10*sin(72)/sin(36) = 16.18033989 cm.
Volume of prism: 0.5*16.18033989^2 *sin(36)*10*10 = 7694.208845 cubic cm.
What else can I help you with?
How do you find the volume of a square regular rectangle?
multiply the length by the width by the height
Volume of a regular hexagonal prism?
Volume_of_any_prism = area_of_base x length Area_regular_hexagon = 3/2√3 x side2 ⇒ volume = 3/2√3 x side2 x length
How do find the length of a rectangle if the perimeter and width is given?
Assuming the object is a rectangular parallelepiped, use its density to find its volume and solve the equation V abc for c where a, b, and c are the height, length and width respectively
What is the formula of a prism?
Faces= sides of base + 2 Edges= sides of base x 3 vertices= sides of base x 2 volume = base * length surface area = 2 * base + perimeter of base * length
What is the difference between perimeter area and volume?
perimeter is all the sides added, area is the base times the height, and volume is on a prism u multiply the three different measurements
How do you find the volume of a pentagonial prism?
Volume is Area of the Base times the Height of the Prism. To find the area of a Regular Pentagon, you use the formula (1/2)*Perimeter*Length of Apothem.
Why is permiters measured in units?
Perimeter is a length, not an area or volume...
How is volume different from perimeter and area?
Volume is the amount of liquid a container can hold. Perimeter is the length of the borders outside a 2D figure. Area is the total space in a 2D shape.
How do you measure volume of regular solid?
The volume of regular solid can be measured by multiplying the length, is width and its distance.
Why can the perimeter of Texas not be measeured in cubic miles?
The perimeter of Texas, like any perimeter, is a linear measurement that represents the total distance around the state's boundaries. It is expressed in units of length, such as miles or kilometers, not in cubic units, which measure volume. Therefore, measuring the perimeter in cubic miles would be incorrect, as it combines incompatible dimensions of length and volume.
Do you add the sides of a solid to figure out the volume?
No. Adding the sides will give you the perimeter. Volume = Length x Width x Height
What is the volume of a regular hexagonal prism with a perimeter of 48 cm and a length of 15 cm?
For a regular hexagon: side_hexagon = perimeter ÷ 6 Area_hexagon = 3/2 × √3 × side² = 3/2 × √3 × (perimeter ÷ 6)² Volume_prism = area_hexagon × length = 3/2 × √3 × (48 cm ÷ 6)² × 15 cm = 3/2 × √3 × (8 cm)² × 15 cm = 3/2 × √3 × 64 cm² × 15 cm = 1440√3 cm³ ≈ 2494.2 cm³
What is the volume of a regular hexagonal prism with a cross section perimeter of 48cm and a length of 15cm?
Volume of prism: 0.5*8*8*sin(60)*6*15 = 2494.2 cubic cm rounded to 1 decimal place
How would you find a volume of a regular shape?
If you want to find a volume of a regular shape, You need to multiply Length, Width, and High.
Is One side times four give you the volume of a square?
A square does not have volume, as it is only a 2d figure. Finding the length of a single side of a square and multiplying that length by 4 will give you the perimeter.
Volume and surface area of prisms a?
Volume = cross sectional area * lengthArea = 2* cross sectional area + perimeter of cross section * length
What is the formula for finding the volume of a regular hexahedron?
If the length of an edge of a regular hexahedron is x, then its volume is x*x*x cubic units.
