A cubical storage is filled with 100 identical cubical papers weight. The capacity of the storage is 800 cubic inches. What is the surface area of the paperweight in square inches?
Answers
Answer:
The Volume of a cuboid is found by multiplying the width by the length by the height (our 3 dimensions!)
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Answer:
- Volume of Storage = 800 inches³
- Number of cubical paper weight = 100
- Surface Area of cubical paper weight = ?
• According to the Question :
⇢ Volume = Paper weight inside of it
⇢ 800 inches³ = Volume of each × Number
⇢ 800 inches³ = Volume of each × 100
⇢ 800 inches³ / 100 = Volume of each
⇢ Volume of each = 8 inches³
As every paper weight is in Cubical Shape and Volume of each is 8 inches³
• Sides of cubical paper weights :
⇒ Volume = 8 inches³
⇒ (Side)³ = 8 inches³
- Cubing root both sides
⇒ Side = 2 inches
It didn't mention specifically to find Surface Area, that's why we will calculate Total Surface Area of all paper weight
• Total Surface Area :
⇢ TSA = TSA of each × Number
⇢ TSA = (6 × Side²) × 100
⇢ TSA = [6 × (2 inches)²] × 100
⇢ TSA = [6 × 4 inches²] × 100
⇢ TSA = 24 inches² × 100
⇢ TSA = 2400 inches²
∴ Hence, Surface area of all paper weights is 2400 inches².