Question

In the figure, Each cube has a volume of $1cubicunit.$ Find the volume of the figure and the area of its base.

Answer 1

Step 1: Let’s count the number of cubes that are inside the rectangular prism.

Start with the bottom or base layer, There are $8$ cubes in the bottom layer.

There are total of $3$layers in the rectangular prism.

Step 2: In order to find the volume of the rectangular prism,

$$\begin{gathered} V=8+8+8 \\ V=24 \end{gathered}$$

In order to find the base area of the rectangular prism, We can use the formula for the volume of a rectangular prism,

$$\begin{gathered} V=B·h \\ 24=B\times 3 \\ B=8 \end{gathered}$$

Hence, the area of the base is $8squareunits$ & the volume is $24cubicunits$.