Chapter SH, Problem 21.6APP

To determine

To calculate: Surface area lost when two cubes are attached at one face.

Answer to Problem 21.6APP

Surface area lost when two cubes are attached at one face is $\underset{\_}{{\text{32 cm}}^2}$ .

Explanation of Solution

Given:

Side of cube = $\text{4 cm}$

Formula used:

Surface area of one face is given by,

  $\text{SA = }{a}^2$

where a is length of side.

Calculation:

Surface area of one side is calculated as:

  $\begin{array}{l}\text{SA = }{a}^2\\ ={\left(4\text{ cm}\right)}^2\\ =16{\text{ cm}}^2\end{array}$

When two cubes are attached, the surface area of two sides are lost.

Therefore, surface area of two sides is calculated as:

  $2\times 16{\text{ cm}}^2=32{\text{ cm}}^2$

Conclusion:

Surface area lost when two cubes are attached at one face is $\underset{\_}{{\text{32 cm}}^2}$ .