0
A square based pyramid has a lateral area of 270cm and a slant height of 9cm. How do you find the length of a side of the pentagonal base and the total area?
Wiki User
∙ 14y ago
The lateral surface area, L.A., of a regular pyramid is given by the formula,
L.A. = (1/2)nsl, where
n = number of the sides of the base
s = length of the each side of the base
l = slant height.
The surface area S.A. is given by the following formula.
S.A. = L.A. + B, where B is the area of the base.
In our problem,
n = 4
s = ?
l = 9 cm
L.A. = 270 cm2
So we have:
L.A. = (1/2)nsl
270 cm2 = (1/2)(4)(s)(9 cm)
270 cm = 18s
s = 270/18 cm
s = 15 cm
S.A. = L.A. + B
S.A. = = 270 cm2 + (15 cm)2
S.A. = 270 cm2 + 225 cm2
S.A. = 495 cm2
In the same way you will work to find the pentagonal base length side and the total area of a regular pyramid.
Wiki User
∙ 14y ago
Add your answer:
Earn +20 pts
Pyramid volume equation?
v= 1/2 * length * height * width Pyramid SolidSolving for volume:
The square base of pyramid has a side length of 230 m and the sides of the Pyramid meet the base at an angle which measuresapproximately 60 What is the sum of the height and slant height?
429 m
How do you find the slant height of a pyramid with a rectangular base?
If you make a line from the top of the pyramid to the center of the base, you have the height of the pyramid. This meets at the midsegment of a line going across the base. Since the height of a pyramid is perpendicular with the base, get this: the height, a line of 1/2 the length of the base, and the slant height form a right triangle. So, you can use the Pythagorean Theorem! For example, if the base length is 6 and the height of the pyramid is 4, then you can plug them into the Pythagorean Theorem (a squared + b squared = c squared, a and b being the legs of a right triangle and c being the hypotenuse). 1/2 the length of the base would be 6 divided by 2=3. 3 squared + 4 squared = slant height squared. 9+16=slant height squared. 25= slant height squared. Slant height=5 units. You're welcome!
Volume of pentagonal prism?
Area of pentagon * length of prism.
What is the volume of the pyramid shown if the length of one of the sides of the square base is 4 cm and its height is 6.6 cm?
35.2
Find the lateral area of a regular pentagonal pyramid that has a slant height of 14in and a base side length of 6 in?
210 in 2
How do you find lateral area of a square pyramid?
You need some information about the height of the pyramid and the formula will depend on whether you have the vertical height or the slant height or the length of a lateral edge.
What is the lateral area of a square pyramid with side length 11.2 cm and slant height 20 cm?
It is 448 square cm.
What is the lateral surface area of this square pyramid that has a base length of 4 centimeters and a slant height of 9 centimeters?
72 cm square.
Are the lateral edges of a pyramid all have the same length?
yes
Is the height of each lateral face?
LENGTH
If a particular right square based pyramid has a volume of 63690 cubic meters and a height of thirty meters What is the number of meters in the length of the lateral height segment AB of a pyramid?
The formula for the volume of a pyramid such as you described would be: V = 1/3Ah where A is the area of the base (a square in this case) and h is the height of the pyramid. You know the volume and the height, so you can plug them into that formula to solve for A, the area of the square base: 63690 = 1/3A(30). A = 6369 square meters. Knowing the area of the square, and the fact that the formula for the area of a square is A = s2 where s is the length of a side, you can find the length of s by taking the square root of 6369. s = about 79.8 meters. The next steps will require some thinking about what that pyramid looks like and what the length of a lateral height segment would represent. Drawing a diagram often helps. If I understand correctly what you mean by "lateral height segment" of the pyramid, meaning the length of the segment from the center of a side at the bottom to the vertex at the top, that length would represent the hypotenuse of a right triangle whose legs are 30 meters (the inside height of the pyramid) and about 39.9 meters (half the length of a side, in other words the distance from the point at the center of the base to the center of the side). You can use the Pythagorean theorem to find that length: c2 = a2 + b2 c2 = 302 + 39.92 c2 = 900 + 1592 c2 = 2492 c = 49.9 meters (approximately)
How do you find lateral area of a pyramid?
If it is a regular pyramid you need to find out the base perimeter, multiply it by the height of the sides (when considered as triangles) and divide by two. The height of the side can be found using Pythagoras's formula if you know the height of the pyramid and the length of a side. The side height of a pyramid is also known as the slanted height or L in a formula. Formula:permiter of base x L(side height) ( P of B)(L) p x L(slant) ----------------------------------------- = --------------------- 2 2 Good luck!
How do you calculate the volume of a pentagonal pyramid?
V = (1/3) (area of the base) (height) Area of a pentagon = 1/2 x apothem length x 5 x length of a side of the pentagonthe apothem is the perpendicular distance from the center of the pentagon to the side of the pentagon
How do you find the surface area of a pentagon based pyramid with slant height of 11 meters and a side length of 3 meters?
Calculate the area of the 5 individual triangles that make the pyramid and the area of the pentagonal base and add these six areas together. Atriangle = 1/3 Base x Height Apentagon = (Perimeter x Apothem)/2 Apothem = side length/(2Tan(∏/Number of sides))
When you see a picture of a right pyramid with a regular polygon base how do you identify its height and its slant height?
Its vertical height is that of the perpendicular from the centre of the base to the apex; the slant height is the length of the sloping "corner" between two faces. The height of a regular pyramid is the vertical distance from the center of base to the top and is usually shown with a line perpendicular to the base, denoted with a right angle to the base. The slant height it the height of the lateral face (the triangles) from the edge of the base to the top of the pyramid. It is the height of the triangle, not the pyramid itself. The slant height will also be the hypotenuse of a right angle formed from the altitude of the pyramid and the distance from the center of the base to the edge.
Where to find online calculation for the golden section pyramid?
PyramidGwill help you to calculate the parameters of the golden section pyramid by the desired height or the length of the base, the ratio of which will be the golden section. You can choose the length of the base of the pyramid or the height of the pyramid as the greater value.PyramidG for Cheops calculates the parameters of the pyramid, which base is the golden section of the Cheops pyramid. The calculation is made by the specified values ​​of the height or the length of the base of the pyramid.
