Case Study Question Mathematics Class 8 on Cubes and Cube Roots

Case Study Question Mathematics Class 8 on Cubes and Cube Roots

Case Study Question Mathematics Class 8 on Cubes and Cube Roots helps students explore cube numbers and cube roots through engaging exercises. It connects concepts to Case Study math questions for class 9 and math case study questions class 9 for deeper understanding. Moreover, practicing such math case study questions enhances logical thinking and prepares learners for complex numerical problems effectively.

Learning Benefits and Practice Tips

By solving Case Study Question Mathematics Class 8 on Cubes and Cube Roots, students gain confidence in identifying cube patterns. Additionally, they learn to apply the factorization method and estimation techniques easily. Therefore, regular practice improves accuracy and builds strong analytical skills for higher grades. So, start practicing today to strengthen your maths foundation with these case study problems.

Mathematics Case Study – Cube and Cube Root Concepts

Case Study 2: Designing Storage Boxes Using Cube and Cube Root Concepts

A furniture company named “EcoWood” specializes in designing cube-shaped storage boxes for eco-friendly homes. The company produces boxes of different sizes to suit customers’ needs. Each box is made from recycled wood and is completely cubic in shape. During a production week, the company makes small boxes with a side of 4 cm and large boxes with a side of 10 cm. The management team wants to determine how much wood will be needed for each type of box and how efficiently space can be utilized during transportation. To achieve this, the production engineer, Neha, decides to calculate the volume, surface area, and cube roots of certain quantities to simplify the estimation process. Based on the case study, answer the following questions.

1. What is the volume of one small box?
Solution:
Volume of a cube = side³ = 4³ = 64 cm³.
2. What is the surface area of one large box?
Solution:
Surface area of cube = 6 × side² = 6 × 10² = 600 cm².
3. If 125 large boxes are loaded into a truck, what is the total volume occupied by all boxes?
Solution:
Volume of one box = 10³ = 1000 cm³. Total volume = 125 × 1000 = 1,25,000 cm³.
4. If Neha finds that a new cubic design has a volume of 512 cm³, what is the length of its side?
Solution:
Side = ∛512 = 8 cm.
5. The ratio of the volume of a large box to that of a small box is:
Solution:
Volume ratio = 10³ : 4³ = 1000 : 64 = 125 : 8. Hence, the simplified correct answer is 125:8 (option C should be the correct one).

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