The Height of a Rectangular Solid is 5 Times Its Width and Its Length is 8 Times Its Height. If the Volume of the Wall is 102.4 Cm3, Find Its Length. - Mathematics

Advertisement Remove all ads
Sum

The height of a rectangular solid is 5 times its width and its length is 8 times its height. If the volume of the wall is 102.4 cm3, find its length.

Advertisement Remove all ads

Solution

Height of rectangular solid = 5 x width
and length = 8 x height = 8 x 5 x width = 40 x width
Volume = 102.4 cm3
Let width = w
Then height = 40w
and height = 5w

`therefore "w" xx 40"w" xx 5"w" = 102.4`

`"w"^3 = 102.4/(40 xx 5) = 0.512`

= `(0.8)^3`

∴ w = 0.8

∴ Length = 40w = `40 xx 0.8` = 32 cm

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

APPEARS IN

Selina Concise Mathematics Class 8 ICSE
Chapter 21 Surface Area, Volume and Capacity
Exercise 21 (C) | Q 6 | Page 241
Advertisement Remove all ads
Advertisement Remove all ads
Share
Notifications

View all notifications


      Forgot password?
View in app×