Advertisements
Advertisements
Question
The length of the longest rod that can be fitted in a cubical vessel of edge 10 cm long, is
Options
10 cm
10`sqrt(2)` cm
10`sqrt(3)` cm
20 cm
Advertisements
Solution
The longest rod that can be fitted in the cubical vessel is its diagonal.
Side of the cube (l) = 10 cm
So, the diagonal of the cube,
`= sqrt(3l)`
`= 10 sqrt(3 )` cm
So, the length of the longest rod that can be fitted in the cubical box is `10 sqrt(3 )` cm .
APPEARS IN
RELATED QUESTIONS
Find the ratio of the total surface area and lateral surface area of a cube.
Mary wants to decorate her Christmas tree. She wants to place the tree on a wooden block
covered with coloured paper with picture of Santa Claus on it. She must know the exact
quantity of paper to buy for this purpose. If the box has length, breadth and height as 80
cm, 40 cm and 20 cm respectively. How many square sheets of paper of side 40 cm would
she require?
A cuboidal wooden block contains 36 cm3 wood. If it be 4 cm long and 3 cm wide, find its height.
Three cuboids of dimensions 5 cm × 6 cm × 7cm, 4cm × 7cm × 8 cm and 2 cm × 3 cm × 13 cm are melted and a cube is made. Find the side of cube.
The volume of a cuboidal box is 48 cm3. If its height and length are 3 cm and 4 cm respectively, find its breadth.
A tank open at the top is made of iron sheet 4 m wide. If the dimensions of the tank are 12 m × 8 m × 6 m, find the cost of iron sheet at Rs 17.50 per metre.
Find the volume and the total surface area of a cuboid, whose :
l = 3.5 m, b = 2.6 m and h = 90 cm
The total surface area of a cylinder is 6512 cm2 and the circumference of its bases is 88 cm. Find:
(i) its radius
(ii) its volume
Three identical cubes of side 4 cm are joined end to end. Find the total surface area and lateral surface area of the new resulting cuboid
The surface area of a cuboid formed by joining two cubes of side a face to face is ______.
