Question

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

Answer 1

Hint: Count the number of unit cubes that fits into the prism.

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

Start with the bottom or base layer, There are 16 cubes in the bottom layer.

There are total of 4 layers in the rectangular prism.

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

$$\begin{gathered} V=16+16+16+16 \\ V=64 \end{gathered}$$

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

$$\begin{gathered} V=B·h \\ 64=B\times 4 \\ B=16 \end{gathered}$$

Final answer: The area of the base is 16 square units & the volume is 64 cubic units.