Question

The breadth of a cuboid is one-fourth of length and height is two-third of the length. If the volume of the cuboid is 288 m cube, find the total surface area.​

Answer 1

Answer:

Total surface area of cuboid = 312 sq m

Step-by-step explanation:

Let the length of the cuboid be " X "

Then the breadth of it will be X/4

and the hight of it will be X × 2/3

So the volume will be

= L × B × H

= X × X ÷4 × X× 2÷3

2 X ^ 3

= --------------

12

X^3

= ------------- = 288

6

X^3 = 288 × 6 =1,728

X = cuberoot 1,728

= 12

Length 12

Breadth 12÷4 = 3

Hight 12 × 2 ÷3 = 8

Total surface area of cuboid

= 2 LB +2 BH +2 LH

= 2× 12× 3 + 2× 3 × 8 + 2× 12 × 8

= 312 sq m

Answer 2

Answer:

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