Question

a candle is in the shape of a pyramid. the volume of the candle is 27 cubic centimeters and its height is 6 centimeters. find the area of the base of the candle.

Explanation:

Step1: Recall volume formula for pyramid

The volume formula for a pyramid is $V=\frac{1}{3}Bh$, where $V$ is volume, $B$ is the area of the base, and $h$ is the height.

Step2: Rearrange formula to solve for $B$

We can rewrite the formula as $B = \frac{3V}{h}$.

Step3: Substitute given values

Given $V = 27$ cm³ and $h=6$ cm. Substitute into the formula: $B=\frac{3\times27}{6}$.

Step4: Calculate the value of $B$

$3\times27 = 81$, then $\frac{81}{6}=13.5$ cm².

Answer:

$13.5$