Question

the solid below is made from cubes. find its volume.

Explanation:

Step1: Determine side - length of small cube

The side - length of each small cube is $1$ m.

Step2: Count number of small cubes in length, width and height

Counting the small cubes, we find that the length $l = 5$ m, the width $w = 3$ m and the height $h = 3$ m.

Step3: Use volume formula for rectangular prism

The volume formula of a rectangular prism is $V=l\times w\times h$. Substitute $l = 5$, $w = 3$ and $h = 3$ into the formula: $V=5\times3\times3$.

Step4: Calculate the volume

$V = 45$ $m^{3}$.

Answer:

$45$