# Two Cubes, Each of Volume 512 Cm3 Are Joined End to End. Find the Surface Area of the Resulting Cuboid. - Mathematics

Two cubes, each of volume 512 cm3 are joined end to end. Find the surface area of the resulting cuboid.

#### Solution

Given that

Volume of cube = 512 cm^3

⇒"side"^3= 512

⇒"side"^3=8^3

⇒"side"^3 = 8cm

Dimensions of new cuboid formed

l=8+8=16 cm,b= 8cm,h=8cm

"Surface area"= 2(lb+bh+hl)

2[16(8)+8(8)+16(8)]=2[256+64]

= 640cm^2

∴"Surface area is  640cm"^2

Concept: Volume of a Cuboid
Is there an error in this question or solution?

#### APPEARS IN

RD Sharma Mathematics for Class 9
Chapter 18 Surface Areas and Volume of a Cuboid and Cube
Exercise 18.2 | Q 7 | Page 30

Share