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# What are the dimensions (length, breadth and height, respectively) of a cuboid with volume 720 cu cm, surface area 484 sq cm and the area of the base 72 sq cm?

 A) 9, 8 and 10 cm B) 12, 6 and 10 cm C) 18, 4 and 10 cm D) 30, 2 and 12 cm

 A) 9, 8 and 10 cm

Volume of the cuboid = $$\Large 720 cm^{3}$$

Height of the cuboid

= $$\Large \frac{Volume \ of \ the \ cuboid}{Base \ area \ of \ the \ cuboid}$$

= = $$\Large \frac{720}{72} = 10 cm$$

Surface area of the cuboid

= $$\Large 2 \left(lb + bh + hl\right)$$

= $$\Large 2 \left(9 \times 8 + 8 \times 10 + 10 \times 9\right)$$

= $$\Large 2 \left(72 + 80 + 90\right)$$

=$$\Large 2 \times 242$$

= $$\Large 484 cm^{2}$$

Therefore, It is obvious that length, breadth and height of the cuboid is 9 cm, 8 cm and 10 cm.

Part of solved Volume and surface area questions and answers : >> Elementary Mathematics >> Volume and surface area

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