0
Find the surface area of a triangular prism with height 30 in and a right triangle base with side lengths 15 in and 20 in and hypotenuse length 25 in?
Wiki User
∙ 13y ago
Surface area = 2 x area_triangular_ends + areas_of_3_rectangular_faces
Surface area = 2 x (15 x 20)/2 + 30 x 15 + 30 x 20 + 30 x 25
= 15 x 20 + 30 x (15 + 20 + 25)
= 300 + 30 x 60
= 2100 in2
Wiki User
∙ 13y ago
Add your answer:
Earn +20 pts
What is the surface area of a triangular pryramid?
Surface area of a triangular pyramid: SA = 1/2 as + 3/2 sl a = altitude of the base triangle s = side of the triangle l = slant height of the pyramid.
How do you work out the surface area for a triangular prism?
To work out the area of the rectangular faces, you need to multiply the length by the width. You then need to multiply that answer by 3 (because there are 3 rectangular faces).To work out the area of the triangular faces, multiply the base of the triangle by the height and divide the answer by 2 (to find the area of one triangle). You then need to multiply it by 2 again because there are 2 triangular faces.Important: The height of a triangle is the distance from the top corner of the triangle down to the base (so that it meets the base at 90 degrees)You then need to add the total surface area of the rectangular faces to the surface area of the triangular faces to get the total surface area of the entire prism.(sorry for the essay :])
How do you measure the surface of a triangular prism?
When you say surface of a prism this means the total amount of space on the outside of the prism. You have specified it to be a triangular prism, but taking the surface area of all prisms is the same process for all prisms. When finding the surface area of a prism you always use this equation... S.A. = (2 x Area of Prism Base) + (Height x Perimeter of Prism Base) In a triangular prism the base would be a triangle. Therefore to find the area you have to do 0.5 x base of the triangle x height of the triangle. For the perimeter of the triangle just add the length of all the sides together. The height indicated in your S.A. = ... formula... is how tall the prism actually stands. So since this prism is a triangular prism take the general surface area equation and put the correct triangular measurements into the general equation and you have this... S.A. = [2 x 0.5 x (height) x (base)] + [Height x perimeter] Here is the formula in word form. The surface area of a triangular prism is equal to two multiplied by one half multiplied by the height of the traingular height multiplied by the triangular base compute this number and then add it to the product of the height of the prism times the perimeter of the triangular base.
What is the surface area and volume of a triangular-based pyramid?
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.
What is Pythagorus famous for?
Pythagoras was famous for the measurement of the lengths of a right angled triangle. The Pythagorean Eq'n is h^(2) = a^(2) + b^(2) Where 'h' is the hypotenuse ; the side opposite to the right angle. , and 'a' & 'b' are the two shorter sides adjacent to the right angle. MN The eq'n is only good for right-angled triangles on a plane surface. Right-angled triangles on a spherical (3-dimensional) surface do not obey this rule.
What is the surface area of each triangular prism 10 10 10 12 8.7 cm?
It is not possible to answer the question. A right triangular prism has sides of only four different lengths : the 3 sides of the triangular cross-section and the length of the prism. There are 5 lengths in the question. Even if there were only four lengths in the question, it is necessary to know which the sides of the triangle are and which the length is.
What is the formula surface area to a triangular prism?
Area of triangle * 2 + perimeter of triangle * length.
What is the surface area of a triangular pryramid?
Surface area of a triangular pyramid: SA = 1/2 as + 3/2 sl a = altitude of the base triangle s = side of the triangle l = slant height of the pyramid.
How do you find surface area of a triangular prisim?
2*area of triangular faces + perimeter of triangle*length of prism (not prisim).
To what do the internal angles of a triangle add?
In Euclidean geometry, 180. Other answers are possible, depending on the surface on which the triangle is drawn.
How do you find the volume of a triangular container?
surface area of triangle times the width/height of container.
What is the formula of surface area of the prism triangular?
2*area of triangular base + perimeter of triangle*length of prism.
What are all the diffent kinds of triangle?
right triangle - has one 90° angle Pythagorean triangle - right triangle whose side lengths are all integers oblique triangle - has no 90° angle acute triangle - each angle is less than 90° obtuse triangle - one angle is greater than 90° equilateral triangle - angles are 60°-60°-60° isosceles triangle - has two equal angles scalene triangle - has three different angles rational triangle - all side lengths are rational integer triangle - all side lengths are integers Heronian triangle - all side lengths and area are integers equable triangle - has a perimeter of n units and and area of n square units degenerate triangle - angles are 0°-0°-180° planar triangle - a triangle drawn on a flat surface (plane) non-planar triangle - a triangle drawn on a curved surface spherical triangle - a non-planar triangle on a convex surface, like the Bermuda Triangle hyperbolic triangle - a non-planar triangle on a concave surface
How do you work out the surface area for a triangular prism?
To work out the area of the rectangular faces, you need to multiply the length by the width. You then need to multiply that answer by 3 (because there are 3 rectangular faces).To work out the area of the triangular faces, multiply the base of the triangle by the height and divide the answer by 2 (to find the area of one triangle). You then need to multiply it by 2 again because there are 2 triangular faces.Important: The height of a triangle is the distance from the top corner of the triangle down to the base (so that it meets the base at 90 degrees)You then need to add the total surface area of the rectangular faces to the surface area of the triangular faces to get the total surface area of the entire prism.(sorry for the essay :])
How do you find the surface area of a triangle pyramid?
Find the surface area of each of the four triangular faces (they need not be the same) and sum the individual areas.
What are faces of a triangular pyramid?
The faces are the flat, triangle-shaped surfaces that make up the surface of the pyramid. A pyramid has four faces.
How do you find the surface area or a triangular prism?
You have to find the areas of each individual triangle's area and add them all up together.
