Скачать или смотреть VOLUME OF WOOD | Cuboid with Conical & Cubical Depressions | Surface Areas and Volumes Class 10

Welcome to ABHI GARG CLASSES! Master the tricky questions from Class 10 Mathematics. This video focuses on a crucial question from the Surface Areas and Volumes chapter, often featured in CBSE and ICSE board exams.

🎯 The Question:
A wooden pen stand is shaped like a cuboid (length = 10 cm, width = 5 cm, height = 4 cm). It has four identical conical depressions (radius r = 0.5 cm, depth h = 2.1 cm) and one cubical depression (edge a = 3 cm) for holding pens and pins. Find the volume of the wood used in the entire stand.

We guide you through the calculation step-by-step:
1. Calculate the Volume of the Cuboid (L x W x H).
2. Calculate the total Volume of the four Conical Depressions (4 * 1/3πr²h).
3. Calculate the Volume of the Cubical Depression (a³).
4. Subtract the carved volumes from the initial cuboid volume to find the remaining wood.

Key Formulas Used: V_cuboid = lbh, V_cone = 1/3πr²h, V_cube = a³.

Don't forget to LIKE and SUBSCRIBE to ABHI GARG CLASSES for more Class 10 Mathematics solutions, tricks, and board exam preparation content! Hit the notification bell so you never miss a lesson!