3 Dimensional Coordinate Geometry

A regular hexagonal pyramid is sliced by a plane such that it passes through the centre of its axis. How many additional edges shall be created.

You have a 9 x 9 x 9 cm box. How many cubes of side 5 cm will you be able to fit inside it?

If a straight line is used to connect V 3, what will be the angle formed between the lines V3 and V1?

When the sum of two angles makes 90°, what are the angles referred to as?

For a given circle with a center O and radius OA, if two arcs B and C are drawn on the circumference of the circle from 1 by taking the measurement of OA as the radius of the arc, what will be the shape of the triangle obtained by joining the points 1, B and C?

A box of dimensions 25cm x 30cm x 45cm is to be painted. A container which contains colour has a capacity to paint 1075cm². How many containers are required to paint the box completely?

The length of a rectangular plot is 30 m more than its breadth. If the cost of fencing the plot @ 25 per meter is Rs. 5000, what is the length of the plot in m?

Total surface area of a cube having sides "L" is given by A____.

The base diameter of a metallic cylinder is 18cm and its height is 24 cm. It is melted into cylinders of base diameter 12 cm and height 6 cm. How many such small cylinders are formed?

All cross sections of a sphere are

The diagonal of a cuboid is given by which of the following formulas?

If the sum of interior angles of a regular polygon is 540°. Find the name of the polygon

How many
(1) edges and
(2) vertices do a square based pyramid have?
[Answer format: To be written as edges, vertices in this order. Example 1,2). Only numericals allowed with comma symbol. Answer in any other format other than that specified will not be accepted for marking]

To make a hockey puck which of 2-D shape needs to be rotated?

What is the radius of the incircle of the triangle whose sides measure 5,12 and 13 units?
(Answer to be provided only in units)

What is the measure of the radius of the circle that circumscribes a triangle whose sides measure 9, 40 and 41?

A hollow iron pipe is 20 cm long and its external diameter is 10 cm. If the thickness of the pipe is 1 cm and iron weighs 8 g/cm3, then what is the weight of the pipe?
(Answer to be provided in kg to the third decimal).

40 men took a dip in a water tank 50 m long and 20 m broad on a religious day. If the average displacement of water by a man is 5 m3, what will the rise in the water level in the tank be?
(Answer to be provided in cm)

A card board sheet is of rectangular shape with dimensions 50cm\times 30cm. From each of its corners, a square is cut off so as to make an open box. If the side of the square is 10 cm, then what is the volume of the box?
(Answer to be provided in cm³)

A glass of cylindrical shape has radius of 3.5cm and height equal to 8cm. A water jug has a volume equal to 1540cm³. How many times the water has to be poured from glass to fill the jug completely? (Take π = )

Find the number of angles in the following figure. 40° 20° 30°

A regular octahedron has 12 edges, how many vertices does it have?

The sum of the measures of the angles of regular polygon is 2160°. How many sides does the polygon have?

Find the area of a square, one of whose diagonals is 9.2 m long. (Provide answer up to the second decimal in sq m)

Seven cubes of same volume having side 5 cm are joined end to end. Find the Surface area of the resulting cuboid. (Answer to be provided in cm²).

A metallic sphere of radius 4.2 cm is melted and recast into the shape of a cylinder of radius 6 cm. Find the height of the cylinder.

Vertices of a quadrilateral ABCD are A(0,0), B(4,5), C(9,9) and D(5,4). What is the shape of the quadrilateral?

A man walked diagonally across a square lot. Approximately, what was the percent saved by not walking along the edges?