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What is the surface area of a right pyramid with height 12 mm whose base is a 10 mm by 18 mm rectangle?
Wiki User
∙ 11y ago
S.A. = L.A. + B
So we have a right pyramid with e rectangle base, whose surface area, S.A., equals the sum of the lateral area, L.A. (the sum of the areas of the 4 triangular faces) and the base area, B (area of the rectangle).
To find L.A. we need to find the two slant heights of the pyramid by using the Pythagorean theorem.
l1 = √(52 + 122) = √(25 + 144) = √169 = 13 mm.
l2 = √(92 + 122) = √(81 + 144) = √225 = 15 mm
L.A. = 18(13) + 10(15) = 234 + 150 = 384 mm2
B = 10(18) = 180 mm2
S.A. = 384 + 180 = 564 mm2.
Wiki User
∙ 11y ago
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Is the height of a right pyramid longer than its slant height?
no
What is the area of a square pyramid?
The answer will depend on the area of the base, whether or not it is a right pyramid, and its height.
The slant height of a pyramid and the altitude of a pyramid are not the same thing?
True, because the slant height and the altitude, or height, of the pyramid form one leg and the hypotenuse of a triangle withing the pyramid, and the hypotenuse of a triangle is always the longest side- it is not possible for the hypotenuse to be equal to the legs of a right triangle. (It is a right triangle because an altitude is perpendicular to the base of a pyramid.)
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.
What is a four right angle?
On a two dimensional surface four right angles form a rectangle.
What is the surface area of the right square pyramid in square meters?
It depends on the dimensions of the base and the height (slant or vertical) of the pyramid.
How do you work out the trigonometry of a rectangular based pyramid?
The answer depends on what you wish to work out: the angles, height, surface area, volume. Also, you need more information: the vertical or inclined height and whether or not the pyramid is a right pyramid.
Is the height of a right pyramid longer than its slant height?
no
What is the volume of a square pyramid with a length of 6 and 2.4 and a height of 8?
I guess the base is a rectangle, rather than a square, since the 'lengths' are given as 2.4 and 6. Volume of a right pyramid, is 1/3 times area of base times height. So if the base is a rectangle [6 x 2.4] then you have (1/3)*(6 * 2.4)*8 = 38.4 units³.
What is the area of a square pyramid?
The answer will depend on the area of the base, whether or not it is a right pyramid, and its height.
How do you find out the perimeter?
The perimeter of any 2D shape is the sum of all of the individual sides. For example: the perimeter of a rectangle is = length of rectangle (top) + length of rectangle (bottom) + height of rectangle (Left) + height of rectangle (Right)
The slant height of a pyramid and the altitude of a pyramid are not the same thing?
True, because the slant height and the altitude, or height, of the pyramid form one leg and the hypotenuse of a triangle withing the pyramid, and the hypotenuse of a triangle is always the longest side- it is not possible for the hypotenuse to be equal to the legs of a right triangle. (It is a right triangle because an altitude is perpendicular to the base of a pyramid.)
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.
A right rectangular the rectangle base is 9Cm by 12Cm and the altitude of the pyramid is 12Cm find its volume?
Fist lets start by reviewing what the area of a pyramid is. Volume of a pyramid (with a rectangular base) is the Area of the Base x Height x 1/3. Where the 1/3 comes in I don't know but that's the equation. So we have a rectangle with the sides measuring 9cm x 12cm. The area of a rectangle is S1 * S2 so we have an area of 9cm*12cm=108cm2. We are given the height (altitude) as 12 cm so now that we know the area of the base, and the height we can find the volume. V= 108cm2 * 12cm *1/3 V= 1296cm3*1/3 V= 432cm3
What is a four right angle?
On a two dimensional surface four right angles form a rectangle.
How is the area triangle related to the area of a rectangle?
two right triangles = full rectangle That is - if you multiply height times base of a triangle, the area will be 1/2 of a rectangle having the same height, and a width the same as the triangle base.
Volume of a right square pyramid?
1/3 b x h b=area of base h=height of pyramid
