Please help! Katie plans to paint four toy chests that have the given net. She will buy 10-oz cans of paint that cover 933 square inches each.
Answer the questions to find how many cans of paint Katie needs to paint all four toy chests.
1. What is the combined area of faces A and E? SHOW ALL WORK.
2. What is the combined area of faces B and D? SHOW ALL WORK.
3. What is the combined area of faces C and F? SHOW ALL WORK.
4. What is the surface area of all four chests Katie needs to paint? SHOW ALL WORK.
5. Each can of paint covers 933 square inches. How many cans does Katie need to buy to paint the toy chests? SHOW HOW YOU KNOW THE ANSWER.
1. Face A: 4 x 4 = 16 square inches
Face E: 4 x 4 = 16 square inches
Combined area of faces A and E: 16 + 16 = 32 square inches
2. Face B: 4 x 4 = 16 square inches
Face D: 4 x 4 = 16 square inches
Combined area of faces B and D: 16 + 16 = 32 square inches
3. Face C: 4 x 4 = 16 square inches
Face F: 4 x 4 = 16 square inches
Combined area of faces C and F: 16 + 16 = 32 square inches
4. Surface area of all four chests: 32 + 32 + 32 + 32 = 128 square inches
5. Katie needs to buy 128/933 = 0.1371 cans of paint, which is approximately 1 can of paint.
STOP ASKING THE SAME THING OVER and OVER!
To determine the answers, we need to find the areas of the different faces of the given net. Below is a step-by-step approach to solving each question:
1. To find the combined area of faces A and E, we need to determine the area of each face individually and then sum them up.
- Face A: It is a rectangle with sides measuring 12 inches and 3 inches. Therefore, the area of face A is 12 * 3 = 36 square inches.
- Face E: It is a square with sides measuring 3 inches. The area of face E is therefore 3 * 3 = 9 square inches.
- Combining the areas, the combined area of faces A and E is 36 + 9 = 45 square inches.
2. To find the combined area of faces B and D, we follow the same process as in question 1.
- Face B: It is a rectangle with sides measuring 12 inches and 6 inches. The area of face B is 12 * 6 = 72 square inches.
- Face D: It is a square with sides measuring 6 inches. The area of face D is therefore 6 * 6 = 36 square inches.
- Summing the areas, the combined area of faces B and D is 72 + 36 = 108 square inches.
3. To find the combined area of faces C and F:
- Face C: It is a rectangle with sides measuring 12 inches and 3 inches. The area of face C is 12 * 3 = 36 square inches.
- Face F: It is a square with sides measuring 3 inches. The area of face F is therefore 3 * 3 = 9 square inches.
- Adding up the areas, the combined area of faces C and F is 36 + 9 = 45 square inches.
4. To calculate the total surface area of all four chests Katie needs to paint, we sum up the areas of all the faces:
- Total surface area = combined areas of faces A and E + combined areas of faces B and D + combined areas of faces C and F
- Total surface area = 45 + 108 + 45 = 198 square inches.
5. Since each can of paint covers 933 square inches, we divide the total surface area of all the chests (198 square inches) by the area covered by one can (933 square inches) to determine how many cans Katie needs to buy:
- Cans needed = Total surface area / Area covered by one can
- Cans needed = 198 / 933 = 0.212 (approx.)
- As you can't buy a fraction of a can, Katie needs to buy at least 1 can of paint.
Therefore, Katie needs to buy at least 1 can of paint to paint all four toy chests.
To answer these questions, we need to calculate the areas of different faces of the given net and then combine them accordingly.
1. To find the combined area of faces A and E, we need to calculate the area of each face separately. Upon examining the net, we can see that both faces A and E are rectangles. We need to find the dimensions of each rectangle and then multiply them to calculate the area.
2. To find the combined area of faces B and D, we follow the same process. Calculate the dimensions of each rectangle and then find the area by multiplying the length and width.
3. Similar to the previous steps, find the dimensions of faces C and F, and then calculate the area by multiplying length and width.
4. To find the total surface area of all four chests, we need to add the areas of all individual faces obtained in steps 1, 2, and 3.
5. Finally, divide the total surface area obtained in step 4 by the coverage provided by a single can of paint (933 square inches). Round up the result to the nearest whole number to find the number of cans Katie needs.
Please provide the dimensions for each face of the net, and I can guide you through the calculations.