Chapter 7.4, Problem 5LC

To determine

To find: a large cube is made up of many small cubes. The volume of the large cube is

  $7.506\times {10}^{5}m{m}^3$ . The volume of each small cube is $2.78\times {10}^{4}m{m}^3$ . How many small

cubes make up the large cube?

Answer to Problem 5LC

The required answer is: 27 small cubes

Explanation of Solution

Given information:

The given information: volume of large cube is $7.506\times {10}^{5}m{m}^3$ and small cube is $2.78\times {10}^{4}m{m}^3$

Calculation:

  $\frac{7.506\times {10}^5}{2.78\times {10}^4}=\frac{7.506}{2.78}\times {10}^{5-4}$

(Subtract exponents when dividing powers with the same base)

  $\begin{array}{l}=\frac{7.506}{2.78}\times {10}^1\\ =2.7\times 10\\ =27\end{array}$

(Simplify)

Therefore 27 small cubes make up the large cube.