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Class 9 Maths Practice Test: Surface Areas and Volumes - Surface Area of a Cuboid and a Cube
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The formulas for cube and cuboid shapes are based on their surface areas, lateral surface areas and volume.

Cube Cuboid
Total Surface Area = 6(side)2 Total Surface area = 2 (length × breadth + breadth × height + length × height)
Lateral Surface Area = 4 (Side)2 Lateral Surface area = 2 height(length + breadth)
Volume of cube = (Side)3 Volume of the cuboid = (length × breadth × height)
Diagonal of a cube = √3(side) Diagonal of the cuboid =√( length2 + breadth2 +height2)
Perimeter of cube = 12 × side Perimeter of cuboid = 4 (length + breadth + height)

Class 9 Maths Practice Test: Surface Areas and Volumes - Surface Area of a Cuboid and a Cube
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3 Questions

1. A water tank of dimensions 2m * 3m * 1.5m is to be painted leaving its base. Find the total cost of painting the tank if rate of painting = ₹20/m2.
2. A man has built a cubical water tank in his house. All sides of it are equal to 1.8m. All sides except the base are to be covered by tiles having equal sides of 30cm. How much money will he spend on tiles if cost of tiles is ₹400/dozen?
3. A box of dimensions 25cm * 30cm * 45cm is to be painted. A container which contains colour has a capacity to paint 1075cm2. How much containers are required to paint the box completely?