## Ismaiel Kalady is teaching live on Unacademy Plus

MENSURATION OF 3D SHAPES Part 1 BASIC CONCEPTS VOLUME 8 SURFACE AREA EXCLUSIVE TRICKS Follow my Profile for more classes, ISMAIEL KALADY

Course Overview Basics of 3D Shapes Volume & Surface Area of all 3D Shapes How to remember Equations? All Types of Problems Previous Year PSC Questions smaiel Kalady

2-D vs. 3-D Shapes v Two-dimensional (2D) shape has only has two measurements, such as length and height, and is usually called a 'flat' shape. Rectangle, square, triangle, circle, etc... VThree-dimensional (3D) shape because it has three measurements (length, height, and width) and is sometimes called a 'solid' shape Cube, Cuboid, Cylinder, Cone, Sphere, etc Ismaiel Kalady

Recap of 2D Shapes ( basics) Rectangle Square 2 A a P 2(l b) Ismaiel Kalady

Recap of 2D Shapes ( basics) Circle smaiel Kalady

Cuboid Equations Figure Ismaiel Kalady

Cuboid Equations Figure Volume of a cuboid 1x b x h Total surface area 2 (lb + bh +Ih) Ismaiel Kalady

Cuboid Equations Figure Volume of a cuboid 1x b x h Total surface area 2 (lb + bh +Ih) Longest diagonal of a cuboid - Ismaiel Kalady

Cube Equations Figure In cube, l = b = h = ,a, Ismaiel Kalady

Cube Equations Figure In cube, l b h a' Volume of a cube a >< a >< a Total surface area- 6a2 a3 Ismaiel Kalady

1. Volume of a cube is 64 cm3.Then its total surface area is: Ans: smaiel Kalady

1. Volume of a cube is 64 cm3.Then its total surface area is: Ans: Volume = a3-64cm" a-V64 = 4cm Total Surface area = 6a2-6 42 =6 16 = 96 cm? smaiel Kalady

2. The maximum length of a pencil that can be kept in a rectangular pencil box of dimensions 8cm x 6cm x 2cm is: a) 2/13 cm b)2V14cm c) 2/26cd) 10/2 cm Ans: Longest diagonal of a cuboid b2 +h2 b) 2V14 cm c) 2V26 cm 182 + 62 + 22 Ismaiel Kalady

2. The maximum length of a pencil that can be kept in a rectangular pencil box of dimensions 8cm x 6cm x 2cm is: a) 2/13 cm b)2V14cm c) 2/26cd) 10/2 cm Ans: Longest diagonal of a cuboid b2 +h2 b) 2V14 cm c) 2V26 cm - V82 62+22 - V64 + 36 + 4 V104 Ismaiel Kalady

2. The maximum length of a pencil that can be kept in a rectangular pencil box of dimensions 8cm x 6cm x 2cm is: a) 2/13 cm b)2V14cm c) 2/26cd) 10/2 cm Ans: Longest diagonal of a cuboid b) 2V14 cm c) 2V26 cm 10V2 cm b2 +h2 - V82 62+22 - V64 + 36 + 4 - V104 - 2/26 cm Ismaiel Kalady

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