After you break apart a rectangular pyramid, what two-dimensional shapes appear in the net?(1 point)
Responses
triangles
triangles
rectangles
rectangles
square and triangle
square and triangle
rectangle and triangles
rectangle and triangles
What is the formula to solve for the slant height of the side triangles in the rectangular pyramid?
(1 point)
Responses
=(w2)2 +h2−−−−−−−−−√
equals Start Root left parenthesis Start Fraction w over 2 End Fraction right parenthesis squared plus h squared End Root
=h
equals h
=(l2)2 + h2−−−−−−−−−√
equals Start Root left parenthesis Start Fraction l over 2 End Fraction right parenthesis squared plus h squared End Root
=l⋅w
=(w^2/2 + h^2)^0.5
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.(1 point)Responses299.25 ft.2299.25 ft. squared819 ft.2819 ft. squared148.5 ft.2148.5 ft. squared522 ft.2522 ft. squaredSkip to navigation
The surface area of a square pyramid can be calculated using the formula:
Surface Area = l^2 + 2lw
Given that the side length of the base (l) is 15 feet and the perpendicular height to the lateral face (h) is 9.9 feet.
Surface Area = 15^2 + 2(15)(9.9)
Surface Area = 225 + 2(15)(9.9)
Surface Area = 225 + 297
Surface Area = 522 ft^2
Therefore, the surface area of the square pyramid is 522 square feet.
What is the slant height in a rectangular or square pyramid?(1 point)Responsesthe distance across the triangular facethe distance across the triangular facean edge of a triangular facean edge of a triangular facethe height of the pyramid from the apex straight down to the middle of the base of the pyramidthe height of the pyramid from the apex straight down to the middle of the base of the pyramidthe height from the apex straight down to the base of the triangular face where it forms a right anglethe height from the apex straight down to the base of the triangular face where it forms a right angle
the height from the apex straight down to the base of the triangular face where it forms a right angle
An illustration shows a pyramid with a rectangular base. The length of the base is labeled 20 centimeters and the width as 18 centimeters. The perpendicular heights from the apex to the base length of 20 is 16.6 centimeters and to the base width of 18 is 17.2 centimeters. The perpendicular heights are denoted by two right angle symbols on two of the lateral faces from the apex to the base by dashed lines.What is the surface of the rectangular pyramid? (1 point)Responses1,643.2 cm21,643.2 cm squared1,178.8 cm21,178.8 cm squared1,001.6 cm21,001.6 cm squared102,787.2 cm2102,787.2 cm squaredSkip to navigation
The surface area of a rectangular pyramid can be calculated using the formula:
Surface Area = l * w + l * slant height 1 + l * slant height 2 + w * slant height 2 + w * slant height 1
Given:
- Length of base (l) = 20 cm
- Width of base (w) = 18 cm
- Perpendicular height to base length = 16.6 cm
- Perpendicular height to base width = 17.2 cm
Surface Area = 20 * 18 + 20 * 16.6 + 20 * 17.2 + 18 * 17.2 + 18 * 16.6
Surface Area = 360 + 332 + 344 + 309.6 + 299.2
Surface Area = 1644.8 cm^2
Therefore, the surface area of the rectangular pyramid is 1,644.8 cm^2.