MATHEMATICS · Multi-part · CBSE · Mathematics · Surface Areas and Volumes · Surface Areas and Volumes
Problem
An open-top cuboidal aquarium has inner height 45cm. Its length is 1.5 times its breadth. The aquarium can hold 81L of water when filled to the brim.
(i) Convert the capacity of the aquarium into cubic centimetres.
(ii) Form an equation in the breadth b(cm) and hence find b, correct to the nearest millimetre.
(iii) Using the value of b found in part (ii), determine the corresponding length, correct to the nearest millimetre.
(iv) Calculate the total inner surface area of the four vertical sides and the base (the area that would be in contact with water), correct to the nearest square centimetre.