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

CBSE Class 10 Sample Paper for 2022 Boards - Maths Basic [Term 2]

Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 10 years. He provides courses for Maths and Science at Teachoo.