Question

The dimensions of a cuboid are in the ration 4 : 5 : 6 and its surface area is

5328 m2


Find (i) its length, breadth and height, (ii) its volume and (iii) the length of a diagonal.

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Answer 1

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Answer 2

Given ,

dimensions of cuboid

4:5:6

Surface area of given cuboid = 5382 m²

Find :- 1) length , bread , height

Let common multiple be X

therefore , 6x = length

4 x = breadth

5x = height

thereofre , surface area = 2( length + breadth × breadth + height × length + height ).

5328= 2(6 x ×4 x +4 x ×5 x + 6x ×5 x)

5328 = 2 ( 24x +20 x + 30 x)

5328= 2 × 74 x

5328 = 148 x

x = 72 cm

Length = 6x = 6× 72= 432 cm

breadth = 4x= 4×72= 288 cm

height = 5x = 5×72 = 360 cm

Volume of cuboid = l × b × h

Volume = 432 × 288 × 360

Therefore , Volume = 44,789,760