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Q: What is the lateral area of a square pyramid with side length 11.2 cm and slant height 20 cm?

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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.

72 cm square.

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)

42.7

Volume = 960 cm3

Lateral faces are the number of faces excluding the base. Since the square is the base, the other 4 sides will each be touching a lateral face to form a square pyramid (or it wont be a pyramid). So, there are 4.

Lateral area: Twice the side of the square times the slant height. Surface area: The side of the square squared plus twice the side of the square times the slant height. a=side of square b=slant height L.A.=2(ab) S.A.=(a)(a)+(2(ab))

120

It is the lateral area (which is 1/2 the perimeter multiplied by the slant height), plus the area of the base.

429 m

Volume = 50 in3

544 m2

LA = 1/2psnewtest3

To find the perpendicular height of a square pyramid, first compute for the volume of the pyramid. Then divide the volume by the area of the base to find pyramid's height.

A square based pyramid has 5 faces, 8 edges and 5 vertices

A pyramid

One side will be a square. It is the base. The lateral sides are triangles.

Volume of a pyramid is (1/3)*(area of base)*(height) = (1/3)*(6 in)2*(8 in) = 96 in3

138.48

35.2

Yes.

Five, counting the square base.

There are quite a few ways you could find the height of a square pyramid. You could measure the sides for example.

You did not give the height of the pyramid and 16 cm is not an area, but the area of the face would be one half the face height of the side of the pyramid times the length of the base side.

volumn of a square pyramid = (1/3)*(base^2)*(height)