What is the two-dimensional shape created by slicing a rectangular Pyramid from the side

The two-dimensional shape created by slicing a rectangular pyramid from the side is a trapezoid.

Use the image to answer the question.

An illustration shows a slide slice where a trapezoidal plane with a square frame is inserted into a 3 D pyramid through two of the corners. It is inserted midway on the slanting sides. The lines not visible are in dashed lines.



What is the two-dimensional shape created by slicing a rectangular pyramid from the side?

As per the illustration described, the two-dimensional shape created by slicing a rectangular pyramid from the side is a trapezoid with a square frame.

How many triangular lateral faces are in a rectangular pyramid?

A rectangular pyramid has four triangular lateral faces. Each face is a triangle and there are four of them in total, one for each side of the rectangular base.

Use the image to answer the question.

An illustration shows a pyramid with a rectangular base of length 8 feet and width 6 feet. The perpendicular height, drawn as a dotted line from the apex to the center of the base, is labeled 12 feet. The sides that are not visible are drawn in dashed lines.

What is the pyramid’s height?

The height of the pyramid is 12 feet. It is given in the illustration that the perpendicular height from the apex of the pyramid to the center of the rectangular base is 12 feet. Therefore, this is the height of the pyramid.

Use the image to answer the question.

An illustration shows a pyramid with a rectangular base of length 8 feet and width 6 feet. The perpendicular height, drawn as a dotted line from the apex to the center of the base, is labeled 12 feet. The sides that are not visible are drawn in dashed lines.

What is the pyramid’s length?

The length of the pyramid is not specified in the illustration and cannot be determined based on the given information. The illustration only provides the dimensions of the rectangular base and the perpendicular height, but not the length of the pyramid.

An illustration shows a pyramid with a rectangular base of length 8 feet and width 6 feet. The perpendicular height, drawn as a dotted line from the apex to the center of the base, is labeled 12 feet. The sides that are not visible are drawn in dashed lines.

What is the pyramid’s length?

The length of the pyramid cannot be determined from the given information. The length of a pyramid with a rectangular base is not the same as the length of the rectangular base itself. The illustration only provides the dimensions of the rectangular base (length = 8 feet and width = 6 feet) and the height of the pyramid (12 feet). Additional information, such as the angle between the height and the base or another dimension of the pyramid, would be needed to calculate the length.

Use the image to answer the question.

An illustration shows a pyramid with a rectangular base. The length of the base is 60 millimeters and the width 48 millimeters. The perpendicular heights from the apex to the base length is 46.6 millimeters and to the base width is 50 millimeters. 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 area of the rectangular pyramid?

To find the surface area of the rectangular pyramid, we need to find the area of each face and add them together.

There are four faces to a pyramid, including the base. Three faces are triangles and one face is a rectangle.

The area of the rectangular base is length x width = 60 mm x 48 mm = 2880 mm².

To find the area of the triangular faces, we need to use the base and height of each triangle.

For the triangle with base 60 mm and height 46.6 mm, Area = 1/2 x base x height = 1/2 x 60 mm x 46.6 mm = 1398 mm².

For the triangle with base 48 mm and height 50 mm, Area = 1/2 x base x height = 1/2 x 48 mm x 50 mm = 1200 mm².

Therefore, the total surface area of the rectangular pyramid is:

Surface area = area of rectangular base + 2 x area of triangular faces

Surface area = 2880 mm² + 2(1398 mm² + 1200 mm²)

Surface area = 8076 mm²

The surface area of the rectangular pyramid is 8076 mm².