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Chapter 12: Q18. (page 484)

Can the area of the base of a regular pyramid be greater than the lateral area? Explain.

Short Answer

Expert verified

No, the area of the base of a regular pyramid cannot be greater than the lateral area.

Step by step solution

01

Step 1. Given information.

Given statement:

鈥淭he area of the base of a regular pyramid can be greater than the lateral area.鈥�

02

Step 2. Explanation.

The lateral area of the regular pyramid is the product of number of faces and area if each face of pyramid.

The base area of the regular pyramid is the area of the face along the base. In general, the area of along is the base is less than the lateral area of pyramid.

Therefore, the area of the base of a regular pyramid cannot be greater than the lateral area.

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Most popular questions from this chapter

The diagonals of a cube intersect to divide the cube into six congruent pyramids. Thatbase of each pyramid is a face of the cube, and height of each pyramid is 12e.

  1. Use the formula for the volume of a cube to explain why the volume of each pyramid is V=16e3.
  2. Use the formula in part (a) to show that V=13Bh.

Each edge of pyramid V- XYZ is 6 cm. Find the following numerical answers.

XO=___

Find the volume and the total surface area of each solid in terms of the given variables.

Refer to cubes with edges of length e. Complete the following table.

eT.A.150V

eT.A.150V

What kind of figure in each lateral face in the following prism?
See all solutions

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