answersLogoWhite

0

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

User Avatar

Wiki User

8y ago

What else can I help you with?

Related Questions

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


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 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...


What is the formula for calculating the volume of a hexagonal shape?

First we assume it is a regular hexagon meaning all the angles are the same and the sides are the same length. Recalling that a regular hexagon can be broken up into 6 triangles, we find the area of the hexagon by finding the area of one triangle and multiply by six. (recall the area of triangle is Height x 1/2 Base ) You can also find the area of a hexagon using the formula Area==ap/2 where a is the apothem and p is the perimeter. But that just gives you the area of the 2 dimensional base, not the volume. To calculate the volume, multiply the area found above by the height of the hexagonal container.


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.


Hexagonal right prism has a volume of 500cu in If the base is a regular hexagon with a side 4 in What is the altitude of the prism?

B- 12.03 in.


What is the formula for calculating volume of a hexagonal box in liters?

Assuming it's a regular hexagon, V= 6√3 x2h where x is one of the sides of the hexagonal base and h is the height of the box.


What is the volume of a hexagonal tent?

To calculate the volume of a hexagonal tent, you first need to find the area of its base, which is a hexagon. The area ( A ) of a regular hexagon can be calculated using the formula ( A = \frac{3\sqrt{3}}{2} s^2 ), where ( s ) is the length of a side. Then, multiply the base area by the height ( h ) of the tent to get the volume ( V ): ( V = A \times h ). Thus, the volume of the tent is ( V = \frac{3\sqrt{3}}{2} s^2 \times h ).


How do find the volume of a 6 sided object?

To find the volume of a six-sided object, you will need to know the shape of the object (e.g., cube, hexagonal prism) and the dimensions such as the length, width, and height or the side length. Then, you can use the formula specific to that shape to calculate the volume.