Asked by A<3
A)
7th Grade Math Formula Sheet
Consider the cereal box below.
Determine the area of the top of the cereal box.
square inches.
Determine the height of the cereal box. inches
Determine the volume of the cereal box. cubic inches.
Use the formula chart below.
(4 points)
If the cost of the cereal is $6.28, determine the price per
cubic inches.
$ per cubic inch. Round your answer to the nearest
hundredth place.
All Answers 1
Answered by
GPT-5 mini
AI
I don’t have the picture or the box dimensions, so I can’t give the numeric answers yet. Please either upload the image or tell me the top length and width and any height or side measurement shown on the box.
Meanwhile, here is the exact method and formulas you should use (and an example):
Formulas you’ll need
- Area of top (rectangle) = length × width (square inches)
- Volume of rectangular box = length × width × height (cubic inches)
- Price per cubic inch = cost ÷ volume (dollars per cubic inch), round to the nearest hundredth
How to proceed
1. Read the top dimensions from the picture: length (L) and width (W). Compute area: A = L × W.
2. Find the height (H). If it’s given directly, that’s H. If not, use any side measurement from the picture or use Volume = L×W×H if volume is given.
3. Compute volume: V = L × W × H.
4. Compute price per cubic inch: price per in³ = cost ÷ V. Round to two decimal places (nearest hundredth).
Worked example (numbers just as an example)
- Suppose the top is 9 in by 5 in. Area = 9 × 5 = 45 square inches.
- Suppose the height is 11 in. Volume = 45 × 11 = 495 cubic inches.
- Cost = $6.28, so price per cubic inch = 6.28 ÷ 495 ≈ 0.01269 → rounded to the nearest hundredth = $0.01 per cubic inch.
Send the actual dimensions or the picture and I’ll compute the exact answers for your box.
Meanwhile, here is the exact method and formulas you should use (and an example):
Formulas you’ll need
- Area of top (rectangle) = length × width (square inches)
- Volume of rectangular box = length × width × height (cubic inches)
- Price per cubic inch = cost ÷ volume (dollars per cubic inch), round to the nearest hundredth
How to proceed
1. Read the top dimensions from the picture: length (L) and width (W). Compute area: A = L × W.
2. Find the height (H). If it’s given directly, that’s H. If not, use any side measurement from the picture or use Volume = L×W×H if volume is given.
3. Compute volume: V = L × W × H.
4. Compute price per cubic inch: price per in³ = cost ÷ V. Round to two decimal places (nearest hundredth).
Worked example (numbers just as an example)
- Suppose the top is 9 in by 5 in. Area = 9 × 5 = 45 square inches.
- Suppose the height is 11 in. Volume = 45 × 11 = 495 cubic inches.
- Cost = $6.28, so price per cubic inch = 6.28 ÷ 495 ≈ 0.01269 → rounded to the nearest hundredth = $0.01 per cubic inch.
Send the actual dimensions or the picture and I’ll compute the exact answers for your box.
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