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Chapter 12: Q11. (page 484)

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

Base  Area=___

Short Answer

Expert verified

The base area of the given pyramid is93 cm2 .

Step by step solution

01

Step 1. Given information.

The given V−XYZpyramid:

Each edge of pyramid is equal to 6.

02

Step 2. Determine the value.

The base of the pyramid is triangle XYZ. Each edge of triangle XYZ is 6 and the length of XM is33  cm .

The base area can be calculated as in below.

A=12×XM×YZ=12×33 cm×6 cm=93 cm2

Therefore, the base area of the given pyramid is 93 cm2.

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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.

Suppose another box has a base with dimensions 8 by 6 and diagonal that forms a70∘angle with a diagonal of a base. Show that the ration of the volumes of the two boxes is tan35∘tan70∘.

A pyramid and a prism both have height 8.2 cm and congruent hexagonal bases with area 22.3 cm2. Give the ratio of their volumes.

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