Question

InstructionsChoose the best answer. If necessary, use the paper you were given.QuestionHow many cubical blocks, each with edges of length 2 centimeters, are needed to fill a rectangular box thathas inside dimensions 10 centimeters by 12 centimeters by 16 centimeters?O 240480O 960O 1.920

Answer 1

Since the dimensions of the rectangular box are 10 cm, 12 cm, 16, cm

Since the length of the cubical block is 2 cm

Then we need to see how many lengths of the cube can be put on each dimension of the rectangular box

$\begin{gathered} L\rightarrow\frac{10}{2}=5 \\ W\rightarrow\frac{12}{2}=6 \\ H\rightarrow\frac{16}{2}=8 \end{gathered}$

Then we can feet 5 cubs on the length and 6 cubes on the width and 8 cubes on the height

The total number of cubes will be the product of them

$\begin{gathered} N=5\times6\times8 \\ N=240 \end{gathered}$

We can fit 240 cubical blocks in the rectangular box

The answer is A