Question

Janey paints block of wood with gold glitter for an art project. The block measures 8 inches by 10 inches by 20 inches. after she's done she decides to make two blocks by cutting through the block on the red line she still wants each block to be covered with gold glitter

Answer 1

If Janey cuts the cube through the red line and separates the cube into two pieces, each piece will have one surface without paint.

The surfaces will be rectangular with length 8in and width 10in.

The area of the cut faces will be equal to:

`\begin{gathered} A=w\cdot l \\ A=8\cdot10 \\ A=80in^2 \end{gathered}`

Since there are two cut faces to paint and both are equal, then their area is also equal. So the area she needs to paint is twice the calculated area:

`\text{Total Area=2}\cdot80=160in^2`