Question

Using Volume Formulas: Tutorial

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Question 2

Suppose that you want to design a set of four congruent square pyramids whose combined volume is the same as the volume of a single

rectangular pyramid. What values of land h for the four square pyramids and what values of I, w, and h for the rectangular pyramid will produce

identical volumes? There is more than one correct answer.

B

TUX

X

Font Sizes

A. A

E JE

Square Pyramids

Rectangular Pyramid

Volume

Base Length Height

Volume

Volume x4 Base Length Base Width Height

(2x)

3

(lxwh

3

I

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Answer 1

For the Square

Base length is 6 units

Height is 4 units

Volume is 48 cubic units

Volume of 4 square pyramids is 192 cubic units

(Rectangular)

Base length is 12 units

Base width is 8 units

Height is 6 units

Volume is 192 cubic units

Explanation:

Square pyramids is a geometric shape having square base. The appex is perpendicularly at the center of the square. If all the edges are equal it is equilateral square pyramid.

Rectangular pyramids have four sided base and four triangle sides that are coming together to the appex. Each base and appex form a triange called lateral face. The triangular faces are non rectangular base. Pyramid with n side have n + 1 vertices and 2n edges.