Advertisement Remove all ads

The Length, Breadth and Height of a Cuboid Are in the Ratio 5:4: 2. If the Total Surface Area is 1216 Cm2, Find Dimensions of the Solid. - Geometry

Sum

The length, breadth, and height of a cuboid are in the ratio 5:4: 2. If the total surface area is 1216 cm2, find dimensions of the solid.

Advertisement Remove all ads

Solution

Let the Length, breadth, and height of the cuboid be 5x,4xand 2x respectively.

Total Surface Area(TSA) = (LB+BH+LH) =1216

 (LB+BH+LH) = 608

 [(5x × 4x) +(4x × 2x) +(5x × 2x) =608

 [20x2 +8x2+10x2] =608

 38x2 = 608

 x2 = `608/38`

 x2 = 16

 x = 4

The dimension of the cuboid is:

Length = 5x = 5(4) = 20cm

Breadth = 4x = 4(4) = 16cm

Height = 2x = 2(4) = 8cm

volume = (L×B×H)

 Volume = 20 × 16 × 8

 Volume = 2560cm2

Concept: Surface Area of a Combination of Solids
  Is there an error in this question or solution?
Advertisement Remove all ads

APPEARS IN

Advertisement Remove all ads
Advertisement Remove all ads
Share
Notifications

View all notifications


      Forgot password?
View in app×