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Mathematics
List of top Mathematics Questions on 3-dimensional coordinate geometry
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?
NATA - 2023
NATA
Mathematics
3-dimensional coordinate geometry
Total surface area of a cube having sides "L" is given by A____.
NATA - 2023
NATA
Mathematics
3-dimensional coordinate geometry
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?
NATA - 2023
NATA
Mathematics
3-dimensional coordinate geometry
The diagonal of a cuboid is given by which of the following formulas?
NATA - 2023
NATA
Mathematics
3-dimensional coordinate geometry
All cross sections of a sphere are
NATA - 2023
NATA
Mathematics
3-dimensional coordinate geometry
If the sum of interior angles of a regular polygon is 540°. Find the name of the polygon
NATA - 2023
NATA
Mathematics
3-dimensional coordinate geometry
The given surface can be folded into which of the following cubes?
NATA - 2023
NATA
Mathematics
3-dimensional coordinate geometry
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?
NATA - 2023
NATA
Mathematics
3-dimensional coordinate geometry
A man walked diagonally across a square lot. Approximately, what was the percent saved by not walking along the edges?
NATA - 2023
NATA
Mathematics
3-dimensional coordinate geometry
To make a hockey puck which of 2-D shape needs to be rotated?
NATA - 2023
NATA
Mathematics
3-dimensional coordinate geometry
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]
NATA - 2023
NATA
Mathematics
3-dimensional coordinate geometry
A glass of cylindrical shape has radius of 3.5cm and height equal to 8cm. A water jug has a volume equal to 1540cm
3
. How many times the water has to be poured from glass to fill the jug completely? (Take
π
=
\(\frac{22}{7}\)
)
NATA - 2023
NATA
Mathematics
3-dimensional coordinate geometry
A box of dimensions 25cm x 30cm x 45cm is to be painted. A container which contains colour has a capacity to paint 1075cm
2
. How many containers are required to paint the box completely?
NATA - 2023
NATA
Mathematics
3-dimensional coordinate geometry
Find the number of angles in the following figure. 40° 20° 30°
NATA - 2023
NATA
Mathematics
3-dimensional coordinate geometry
A regular octahedron has 12 edges, how many vertices does it have?
NATA - 2023
NATA
Mathematics
3-dimensional coordinate geometry
The sum of the measures of the angles of regular polygon is 2160°. How many sides does the polygon have?
NATA - 2023
NATA
Mathematics
3-dimensional coordinate geometry
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)
NATA - 2023
NATA
Mathematics
3-dimensional coordinate geometry
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 cm
2
).
NATA - 2023
NATA
Mathematics
3-dimensional coordinate geometry
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.
NATA - 2023
NATA
Mathematics
3-dimensional coordinate geometry
NAT A cube is coloured red on all faces. It is cut into 64 smaller cubes of equal size. How many cubes have one red painted face?
NATA - 2023
NATA
Mathematics
3-dimensional coordinate geometry
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)
NATA - 2023
NATA
Mathematics
3-dimensional coordinate geometry
What is the measure of the radius of the circle that circumscribes a triangle whose sides measure 9, 40 and 41?
NATA - 2023
NATA
Mathematics
3-dimensional coordinate geometry
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).
NATA - 2023
NATA
Mathematics
3-dimensional coordinate geometry
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)
NATA - 2023
NATA
Mathematics
3-dimensional coordinate geometry
A card board sheet is of rectangular shape with dimensions 50cm×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 cm
3
)
NATA - 2023
NATA
Mathematics
3-dimensional coordinate geometry
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