after you break apart a rectangular pyramid, what two dimensional shapes appear in the net?
rectangle and triangles
triangles
rectangles
square and triangle
7 answers
rectangles and triangles
use the image to answer the question
A rectangular pyramid is shown. The base of the pyramid has length labeled l and w. A dotted line is drawn from the apex down one of the triangular faces, ending at the midpoint of the edge that is labeled w. This dotted line is labeled slant height. From the apex down through the middle of the triangle is another dotted line labeled h.
what is the formula to solve for the slant height of the side triangles in the rectangular pyramid?
A rectangular pyramid is shown. The base of the pyramid has length labeled l and w. A dotted line is drawn from the apex down one of the triangular faces, ending at the midpoint of the edge that is labeled w. This dotted line is labeled slant height. From the apex down through the middle of the triangle is another dotted line labeled h.
what is the formula to solve for the slant height of the side triangles in the rectangular pyramid?
The formula to solve for the slant height of the side triangles in a rectangular pyramid is:
slant height (s) = √(h² + (w/2)²)
slant height (s) = √(h² + (w/2)²)
i forgot the responses
the responses are
= l x w
= √(1/2)^2 + h2
= √(w/2)^2 + h^2
= h
the responses are
= l x w
= √(1/2)^2 + h2
= √(w/2)^2 + h^2
= h
The formula to solve for the slant height of the side triangles in a rectangular pyramid is:
slant height (s) = √((w/2)^2 + h^2)
slant height (s) = √((w/2)^2 + h^2)
use the image to answer the question.
An illustration shows a pyramid with a square base. The side of the base is labeled 15 feet. The perpendicular height denoted by a right angle symbol on the lateral face from the apex to the base is labeled 9.9 feet.
solve for the surface area of the square pyramid
819 ft^2
522 ft^2
299.25 ft^2
148.5 ft^2
An illustration shows a pyramid with a square base. The side of the base is labeled 15 feet. The perpendicular height denoted by a right angle symbol on the lateral face from the apex to the base is labeled 9.9 feet.
solve for the surface area of the square pyramid
819 ft^2
522 ft^2
299.25 ft^2
148.5 ft^2
To solve for the surface area of a square pyramid, we need to find the sum of the lateral area and the area of the base.
1. Find the lateral area:
Lateral area = (1/2) * Perimeter of base * slant height
Since the base is a square and the side is 15 ft, the perimeter of the base is 4 * 15 = 60 ft.
The slant height is the hypotenuse of a right-angled triangle with legs 9.9 ft and 15 ft, so using Pythagorean theorem:
slant height = √(9.9^2 + 15^2) = √(98.01 + 225) = √323.01 ≈ 17.98 ft
Therefore, the lateral area = (1/2) * 60 * 17.98 = 539.4 ft^2
2 Find the area of the base (since it's square):
Base area = side^2 = 15^2 = 225 ft^2
3. Total surface area:
Surface area = Lateral area + Base area = 539.4 + 225 = 764.4 ft^2
Therefore, the closest answer from the given options is: 819 ft^2
1. Find the lateral area:
Lateral area = (1/2) * Perimeter of base * slant height
Since the base is a square and the side is 15 ft, the perimeter of the base is 4 * 15 = 60 ft.
The slant height is the hypotenuse of a right-angled triangle with legs 9.9 ft and 15 ft, so using Pythagorean theorem:
slant height = √(9.9^2 + 15^2) = √(98.01 + 225) = √323.01 ≈ 17.98 ft
Therefore, the lateral area = (1/2) * 60 * 17.98 = 539.4 ft^2
2 Find the area of the base (since it's square):
Base area = side^2 = 15^2 = 225 ft^2
3. Total surface area:
Surface area = Lateral area + Base area = 539.4 + 225 = 764.4 ft^2
Therefore, the closest answer from the given options is: 819 ft^2