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Mimi Ezenwa Posted on Apr 03, 2019
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Find the volume and surface area of a pyramid with height 3 2cm and square base sides all 6 cm length?

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Robert Oliver

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  • Expert 323 Answers
  • Posted on Apr 03, 2019
Robert Oliver
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Do your own homework.? How will you learn anything if you ask other people to do it for you.? How will you know if people are lying about the answers, because they know, that you DON'T know.?

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Anonymous

  • 74 Answers
  • Posted on Sep 14, 2011

SOURCE: surface area of a rectangular prism whose length

Since the 'base' and 'top' of any prism have the same shape, the surface area can be found by

  • surface area of prism = 2 * area of base + perimeter of base * H
So for the rectangular prism in your example..
  • surface area = 2LW + 2(L+W)H
  • = 2 * 7 * 4 + 2*(7+4)*5
  • = 56 + 2 * 11 * 5
  • = 56 +110
  • = 166 sq cm
Hope this helps

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k24674

  • 8093 Answers
  • Posted on Nov 12, 2013

SOURCE: Draw the developnent of lateral surface of

You need 5 isosceles triangles with a base of 30 mm. To get the height of the triangles (perpendicular to the 30 mm bases) you need to calculate the apothem of the pentagon (assumed to be regular).

If you cut the pyramid by a plane passing through its apex, the center of the base-pentagon,and the midpoint of one side, the plane figure created by the three points (apex, center, and midpoint) is a right triangle. The legs are the apothem, and the altitude of the pyramid. The hypotenuse is the slant height of the pyramid, and is thus the height of the triangles in the development. pyramid (60 mm) form.
Use the Pythagorean Theorem to find that slant height.
s^2=a^2+h^2.

kakima

  • 102366 Answers
  • Posted on Jan 28, 2015

SOURCE: A block of wood shaped like a rectangular prism. The area of the base is 96 square centimeters. The volume of the block is 1440 cubic centimeters. What is the height in centimeters?

Divide 1440 cubic centimeters by 96 centimeters to get 15 centimeters.

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1answer

Draw 3 different triangles with an area of 24 cm squared

Good question.

The area of a triangle is the base times the height.

A=b * h, where A is the area, b is the length of the base, and h is the height.

So what three sets of numbers multiply to 24.

To do this, we can factor 24, starting from 1 going up to approximately the square root of 24, which is 5. After this, the numbers will just reverse.

1 * 24
2 * 12
3 * 8
4 * 6

Pick any three of these and make triangles with the base being one number, and the height being the other number. Then connect the ends of the line to the top of the height line. You can move the height along the base and create many many different triangles with an area of 24 cm squared.

Good luck,

Paul
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1answer

What is the pyramid total surface formula

Assuming the base of the pyramid is square ... of length B and the distance from the center of the base of the pyramid to the top of the pyramid is H

Surface area is: 2 x H x B
plus B-square (if you include the base of the pyramid)
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1answer

What is the pyramid total surface formula

A pyramid has 5 sides including the base. If the base is a rectangle L long and W wide, its area is L*W.

The other sides are triangles. If the height of the pyramid is H, the triangles that are L wide at the base will have a height of the square root of half of W squared plus H squared, or SQRT((.5*W)^2+H^2) and the two that are W wide at the base will have a height of SQRT((.5*L)^2+H^2). The area of a triangle is .5*height*base, so the total surface two triangles with the same height and base is 2*.5*height*base = height*base.

So, the total surface area of a pyramid L long by W wide by H tall would be:
L*W (the area of the base)
+ L*SQRT((.5*W)^2+H^2) (the area of the 2 triangles with base L)
+ W*SQRT((.5*L)^2+H^2) (the area of the 2 triangles with base W)

Hope this is helpful!
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1answer

Volume of triangular pyramid

Here is to get you started. To increase the size of the image do a CTRL Plus (+) in your browser.
You need to calculate the slant height of the pyramid for the formula of the lateral area. You should find a value of (1/2)*SQRT(203) or about 7.1239 cm

913b74c4-c453-4afa-be3a-c3e781816e8d.png

You need to calculate the altitude (height) of the pyramid from the apex (summit) to the center of the base triangle (center of inscribed circle, barycenter, orthocenter). The hypotenuse of such triangle is the slant height. One leg is the altitude (to be found), the measure of the second leg is (1/3) the altitude of the equilateral triangle that forms the base. You should find (1/3) m MH= (1/3)* (11/2)*SQRT(3)
bc7a3bcd-ec6e-4936-9887-c6372904fe9f.png

1. Calculate the area of the base (use a formula for the equilateral triangle or the general formula for a triangle: you have its height MH ).
2. Lateral area = 3 times the area of triangle Triangle ECD (in yellow above).
3. Total area = area of base + lateral area.
4. Volume= (1/3)(Area of base)* (height of pyramid)
If you can see the details on the screen capture below, fine, Press CTRL + in your browser to increase the size.
1fbf065d-6c1d-440a-9069-783127aa9842.png
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2answers
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1answer

Solid mensuration problem solving

First a square has equal sides, it means s= square root of 225 = 15.
Height of the base is equal to 15. Volume of the prism = Base area x Height = 225(15) = 3375 cu. cm x 1 liter / 1000 cu. cm = 3.375 liters
Ans = 3.375 liters
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1answer

If a cube has an area of 216cm3 how do you find out its length , breadth & height

If it is a cube, length, breadth, and height are all equal. If volume (not the area) is 216 cm^3 then
V=s^3 where s is the measure of a side
s=CUBIC ROOT (216)=6
s= 6 cm
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2answers

Surface area of a rectangular prism whose length is 7 cm.,width is 4 cm., and thickness is 5 cm.?

Since the 'base' and 'top' of any prism have the same shape, the surface area can be found by
  • surface area of prism = 2 * area of base + perimeter of base * H
So for the rectangular prism in your example..
  • surface area = 2LW + 2(L+W)H
  • = 2 * 7 * 4 + 2*(7+4)*5
  • = 56 + 2 * 11 * 5
  • = 56 +110
  • = 166 sq cm
Hope this helps
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