Three cubes each of volume 64 cm 3 are joined end to end to form a cuboid. Find the total surface area of the cuboid so formed?

This question is similar to Ex 13.1, 1 Chapter 13 Class 10 - Quadratic Equations

Slide5.JPG

Slide6.JPG
Slide7.JPG

Go Ad-free

Transcript

Question 2 Three cubes each of volume 64cm3 are joined end to end to form a cuboid. Find the total surface area of the cuboid so formed? Finding Side of Cube from volume Given that Volume of 1 cube = 64 cm3 (Side)3 = 64 cm3 a3 = 64 cm3 a3 = 43 a = 4 Surface area of cuboid Length of cuboid = a + a +a = 4 cm + 4 cm + 4 cm = 12 cm Breadth = a = 4 cm Height = a = 4 cm Hence, l = 4 cm, b = 4 cm , h = 4 cm Area of cuboid = 2(lb + bh + hl) = 2(12 × 4 + 4 × 4 + 4 × 12) = 2(48 + 16 + 48) = 2(112) = 224 Hence, Area of cuboid = 224 cm2

Davneet Singh's photo - Co-founder, Teachoo

Made by

Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science and Computer Science at Teachoo