Correct! The correct rectangular base is show, along with the 4 triangles that make up the sides of the pyramid. Which net best represents the rectangular pyramid below?
A.
Correct! The correct rectangular base is show, along with the 4 triangles that make up the sides of the pyramid.
B.
Incorrect. Be sure your net correctly identifies the base of the Rectangular Pyramid.
C.
Incorrect. Although this is a pyramid, the base shape is incorrect.
D.
Incorrect. When this net is folder together, it will have a rectangular base, but not all of the sides will fold up to a single vertex.
Dane is given a regular hexagonal prism. If Dane drew the net of this prism, which answer choice below could be Dane’s drawing?
A.
Incorrect. Since Dane constructed a hexagonal prism, there must be 2 hexagonal bases present.
B.
Correct! The regular hexagon bases are shown, as well as the congruent rectangles that make up the lateral faces.
C.
Incorrect. Although this is the net of an Oblique Hexagonal Prism, the bases are not regular hexagons, nor are the rectangular face lengths the same.
D.
Incorrect. The base shape of Dane’s drawing is a Hexagon with 6 sides. This base has 7 sides.
The model of a square pyramid has a slant height of 11 inches and a lateral surface area of 187 in2. What is the total surface area of the regular square pyramid? (Hint: Draw the net of a square pyramid.)
A. 72.25 in2
Incorrect. Remember to find the total surface area, you need the area of the base plus the lateral surface area.
B. 221 in2
Incorrect. Once you find the length of the base, use that information to find the area of the base.
C. 259.25 in2
Correct! Great job using the slant height and lateral surface area to find the perimeter and side length of the square base.
D. 476 in2
Incorrect. Be sure you are using the correct information in the formula for finding the lateral surface area of the pyramid to find the perimeter of the base.
Mariah is wrapping a present for her little brother. The box, which is shaped like a rectangular prism, is shown below with its dimensions. Which of the following nets correctly represents Mariah’s box and has the correct total surface area of the box shown?
A. Total Surface Area = 1328 in2
Incorrect. The net is a correct representation, but the total surface area is incorrect.
B. Total Surface Area = 800 in2
Incorrect. Although the net is an accurate representation, the measurement shown and incorrect, therefore the total surface area is incorrect.
C. Total Surface Area = 1600 in2
Incorrect. Although the net is an accurate representation, the measurement shown and incorrect, therefore the total surface area is incorrect.
D. Total Surface Area = 2656 in2
Correct! The net is an accurate representation, and the total surface area is accurate for all 6 faces of the net.
A candy box is in the shape of a triangular prism and, when completely unfolded, makes the net for the prism. Which of the following could be the unfolded candy box?
A.
Incorrect. In this net, the triangular bases will not fold to be parallel and opposite faces of the three-dimensional figure.
B.
Incorrect. In this net, the triangular bases will not be opposite faces.
C.
Correct!
D.
Incorrect. This net will make a triangular pyramid when folded into a three-dimensional figure.