Question

Matilda builds model. The model is a right rectangular prism and a small cube. How much area does she have to paint if she paints all of the exterior? cube: l:4 w:4 h:4rectangular prism: l:17 w: 14 h: 15

Answer 1

The exterior area for the paint consist of 5 faces of cube and six faces of rectangular prism minus one face of cube, as one face of cube is placed on upper surface of rectangular prism and covers the certain area of rectangular prism.

Determine the exterior area available for the paint.

`\begin{gathered} A=2(15\cdot14+17\cdot14+17\cdot15)-4\cdot4+5\cdot4\cdot4 \\ =2(210+238+255)-16+80 \\ =1406-16+80 \\ =1470 \end{gathered}`

So area for the paint to the exterior is 1470 square inch.