Mensuration Tes...

Which of the following options represents the area of the pentagonal park as shown in the figure?

If the area of a rectangle is 60 cm² and its perimeter is 34 cm, then the length of the diagonal is

Two circular pieces of diameters 2 cm and 3 cm are cut from a rectangular sheet of length 6 cm and width 3 cm. Find the remaining area (approximate) of the rectangular sheet.

A covered wooden box has the inner measures as 115 cm, 75 cm and 35 cm and the thickness of wood is 2.5 cm. Find the volume of the wood.

The ratio of the radii of two cylinders is : 1 and their heights are in corresponding ratio of 2 : 3. The ratio of their volumes must be

Find the sum of two opposite sides of a parallelogram whose height is 25 cm and area is 15 m².

What is the area of the shaded region if the side of the square ABCD is 14 cm?

In the figure below, ABC is a right-angled triangle and CD is perpendicular to AB. If AC = 13 cm, DC = 5 cm and AD = DB, find the area of triangle ABC.

Four ice cubes of sides 11 cm, 12 cm 13 cm and 14 cm are melted and then frozen together again to form one big ice cube. Find the side of the new ice cube formed.

The volume of a cylinder is 6280 cm³ and the area of its base is 314 cm². Find the height of the cylinder. (Note: Use π = 3.14)

Find the number of rods that can be made from 0.66 m³ of iron, each having length 21 m and radius 2 cm.

A cylindrical tube, open at both the ends, is made of metal. The internal diameter of the tube is 10.4 cm and its length is 25 cm. The thickness of the metal is 8 mm everywhere. Calculate the volume of the metal in the cylinder.

If the area of each small rectangle is 10 cm², then what will be the area of the shaded portion?

A cubical box of dimension 26 cm is constructed from a metal of thickness 2 cm. Find out the amount of metal used (in cm³).

A ditch 8 m long, 4.5 m wide and 2.5 m deep is dug in a field 36 m long and 11 m wide; the earth so dug is spread out evenly on the remaining field. Find the rise in the level of the field.

A big ice cube's side measures 50 cm. Calculate its weight (in kg), if ice weighs of the weight of the same volume of water and 1 cm³ of water weighs 1 gm.

A cylindrical metal tank whose diameter is 14 dm can hold 2,310 litres of diesel. Taking a litre of diesel to occupy 832 cubic cm, what will be the height of the tank?

A rectangular park is 20 m long and 10 m wide. It has a 2 m wide path along the boundary. Find the area of the path.

A basketball court is 15 m long and 8 m wide. What will be the total cost of flooring the court with wood at the rate of Rs. 2000 per square metre?

What is the curved surface area of the solid obtained when two cylinders of height 6 cm each and radii 3 cm and 1 cm are joined base to base?

The length, breadth and height of a room are in the ratio 3 : 2 : 1. If the breadth and height of the room are halved, and length of the room is doubled, then what will be the change in area of the four walls of the room as compared to the original area?

Find the area of the given shape.

Fill in the blanks with the help of the table given and mark the correct option.

(i) The area of a rectangle becomes ___ times its original area if its length and width are doubled.
(ii) The curved surface area of a cylinder becomes _________ if the height is doubled.
(iii) All the faces of a cube are ______ in area.
(iv) If the height (h) of a cylinder is equal to the radius (r) of its base, then the total surface area of the cylinder, in terms of r, is _______.

Find the total surface area of the given figures.

The area of a parallelogram is 3380 cm². If the sum of the base and its parallel side is 130 cm, find the height of the parallelogram.