Chapter 12, Problem 8PT

To determine

To find the volume of the tea bag.

Answer to Problem 8PT

The volume of the tea bag $=26.7{\text{cm}}^3$

Explanation of Solution

Given information:

A tea bag is like a regular square pyramid. Each leg of the base is 4 cm, and slant height 5 cm.

Formula used:

Volume of square pyramid:

The volume of square pyramidis given by the formula:

$V=\frac{1}{3}{a}^{2}h$ , where a is the base of the square pyramid and h is the slant height.

From the given information:

Slant height of the tea bag, $h=5$ cm

Length of the square base, $a=4$ cm

∴ Volume of candle, $V=\frac{1}{3}{a}^{2}h$

$=\frac{1}{3}{4}^{2}5$

$=\frac{1}{3}\cdot 16\cdot 5$

$=26.7{\text{cm}}^3$

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