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# Mensuration 3D || 09.03.2021

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Question 1

A sphere is inscribed in a cube. What is the ratio of the volume of the cube to the volume of the sphere?

Question 2

Base of a right pyramid is a square, length of diagonal of the base is 24√2 m. If the volume of the pyramid is 1728 cu.m., it's height is

Question 3

A copper wire of radius 0.5 mm and length m is melted and converted into a sphere of radius R cm. What is the value of R?

Question 4

The volume of a conical tent is 1232 cubic meters and the area of its base is 154 square meters. Find the length of the canvas required to erect the tent, if the width of the canvas is 2 meter.

Question 5

A cuboid of size 100 cm × 80 cm × 60 cm cut into eight identical parts by three cuts. What is the total surface area (in square cm.) of all the eight parts?

Question 6

If the side of a cube is increased by 20%, then what will be the percentage increase in the volume of cube?

Question 7

A right circular cylinder having diameter 21 cm & height 38 cm is full of ice cream. The ice cream is to be filled in cones of height 12 cm and diameter 7 cm having a hemispherical shape of the same radius as that of cone on the top. The number of cones that can be filled with the available ice cream is

Question 8

Area of 4 walls of a cuboid is 440 sq cm, its length is 15 cm and height is 10 cm. What is its breadth (in cm)?

Question 9

Find the length of the largest rod that can be placed in a room 16 m long, 12 m broad and m high.

Question 10

The curved surface area of a cylindrical pillar is 264 m2 and its volume is 924 m3. Find the ratio of its diameter to its height.
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