Question

Use the figure to answer 6dash7.
12 in.
8 in.
8 in.
Question content area bottom
Part 1
6. Jess wants to build the birdhouse shown. She bought a 29​-inch by 47​-inch sheet of plywood. Does Jess have enough wood to make the​ birdhouse? Explain.
Find the area of the base and the sides.
​A(base)equals8times8equals
  
64
​A(sides)equals8times12equals
  
96
Part 2
Find the total area.
Total Areaequals2times
  
64plus4times
  
96equals128plus
  
384equals
  
512 in squared
Part 3
Upper A left parenthesis wood right parenthesis equals29times47equals
  
1363 in squared
Part 4
Does Jess have enough wood to make the​ birdhouse? Explain.
Yes.
The surface area of the birdhouse is
  
512 in squared and she has
  
1363 in squared of wood.
Part 5
7. Jess decides to paint the birdhouse. She has a pint of paint that covers 43.5 ft squared of surface. How can you tell that Jess has enough paint without​ calculating?
Jess only needs to cover
  
enter your response here in squared of​ surface, which is
▼
much less than
much greater than
close to
3.6 ft squared.

Answer 1

Your work is correct.

Part 1–4 (wood)
- Base area = 8 × 8 = 64 in² (each of 2 bases → 2×64 = 128 in²)
- Side area = 8 × 12 = 96 in² (each of 4 sides → 4×96 = 384 in²)
- Total surface area = 128 + 384 = 512 in²
- Plywood area = 29 × 47 = 1363 in²

Since 512 in² < 1363 in², Jess has enough wood.

Part 5 (paint)
- 512 in² = 512 ÷ 144 ≈ 3.56 ft².
- She has paint that covers 43.5 ft², which is much greater than 3.56 ft².

So: Jess only needs to cover about 3.6 ft² of surface, which is much less than the 43.5 ft² her pint will cover. She has plenty of paint.