Advertisements
Advertisements
Question
Find the edge of a cube whose surface area is 432 m2.
Advertisements
Solution
Let,
a → Edge of the cube
Surface area of the cube = 6a2
So,
`6a^2 = 432`
`a^2 = 432/6`
= 72
` a = 6 sqrt(2) ` m
Side of the cube is `6 sqrt(2) ` m .
APPEARS IN
RELATED QUESTIONS
An open box is made of wood 3 cm thick. Its external length, breadth and height are 1.48 m, 1.16 m and 8.3 m. Find the cost of painting the inner surface of Rs 50 per sq. metre.
A wooden bookshelf has external dimensions as follows: Height = 110 cm, Depth = 25 cm, Breadth = 85 cm in following figure. The thickness of the plank is 5 cm everywhere. The external faces are to be polished and the inner faces are to be painted. If the rate of polishing is 20 paise per cm2 and the rate of painting is 10 paise per cm2. Find the total expenses required for polishing and painting the surface of the bookshelf.

The areas of three adjacent faces of a cuboid are x, y and z. If the volume is V, prove that V2 = xyz.
Find the length of each edge of a cube, if its volume is :
(i) 216 cm3
(ii) 1.728 m3
A solid cuboid of metal has dimensions 24 cm, 18 cm, and 4 cm. Find its volume.
The curved surface area of a cylinder of height 14 cm is 88 cm2. Find the diameter of the base of the cylinder.
Three equal cubes of sides 5cm each are placed to form a cuboid. Find the volume and the total surface area of the cuboid.
Find the Total Surface Area and the Lateral Surface Area of a cuboid whose dimensions are: length = 20 cm, breadth = 15 cm, height = 8 cm
A cuboidal tin box opened at the top has dimensions 20 cm × 16 cm × 14 cm. What is the total area of metal sheet required to make 10 such boxes?
Three cubes each of side 10 cm are joined end to end. Find the surface area of the resultant figure.
