Question

lesson 2: drilling for understanding

1. find the volume of a square pyramid with a base of 4 cm by 4 cm and a height of 9 cm. round to the nearest cubic centimetre.

we know
.

Explanation:

Step1: Calculate base - area

The base is a square with side length $a = 4$ cm. The area of the base $B=a^2$, so $B = 4\times4=16$ $cm^2$.

Step2: Use volume formula

The volume formula for a pyramid is $V=\frac{1}{3}Bh$, where $B$ is the base - area and $h$ is the height. Given $B = 16$ $cm^2$ and $h = 9$ cm, we substitute these values into the formula: $V=\frac{1}{3}\times16\times9$.

Step3: Compute the volume

$V=\frac{1}{3}\times16\times9 = 16\times3=48$ $cm^3$.

Answer:

$48$ $cm^3$