1.

If the base length, width, height of a quadrangular prism are 37.5 cm, 18 cm, 40 cm respectively. Find the area of cube which has same volume as that of this prism.

Answer»

Volume of quadrangular prism = base area × height = 37.5 × 18× 40 = 27000 cm3

Volume of quadrangular prism = Volume of cube

∴ Volume of cube = 27000 cm3

Let one side of a cube be x, then a3 = 27000

; a = 30 cm

30 × 30 × 30 = 27000, Hence

Surface area of the cube = 6a2 = 6 × 30 × 30

= 5400 cm2



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