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Chapter 2: Q14. (page 78)

Translate the following sentence into a formula:

鈥淥ne-third the product of the length of the side squared and the height is the volume of a pyramid with a square base鈥�.

Short Answer

Expert verified

The formula is V=13x2h.

Step by step solution

01

Step 1. Given information.

The given sentence is:

One-third of the product of the length of the side squared and the height is the volume of the pyramid with a square base.

02

Step 2. Mention the algebraic variables.

Consider the Volume of the pyramid be V, length of the side be x and the height of the cone be h.

03

Step 3. Write the formula.

Since the square of the side is x2and one-third of the product of the length of the side squared and the height is 13x2h.

Therefore, the formula becomes:

V=13x2h

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