Question

50 Points

Janey paints a 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.

What is the total area of the cut surfaces she still needs to paint?
Answer the questions to find out.

1. What is the shape of each cut surface? what are its dimensions?


2. What is the area of each cut surface?


3. What is the total area Jenny needs to paint? Explain how you found your answer.

Answer 1

Answer: Each cut surface is a rectangle with dimensions of 8 inches by 10 inches.

The area of each cut surface is:

A = l * w

A = 8 in * 10 in

A = 80 sq in

So each cut surface has an area of 80 square inches.

To find the total area Jenny needs to paint, we need to find the combined area of both cut surfaces. Since there are two cut surfaces, we simply need to multiply the area of one cut surface by 2:

Total area = 2 * area of one cut surface

Total area = 2 * 80 sq in

Total area = 160 sq in

Therefore, Jenny needs to paint a total area of 160 square inches.

Explanation:

Answer 2

The shape of each cut surface is a rectangle. The dimensions of each cut surface are 8 inches by 10 inches.

The area of each cut surface is 8 inches x 10 inches = 80 square inches.

Since there are two cut surfaces, the total area that Jenny needs to paint is 2 x 80 square inches = 160 square inches.