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Question 1
The areas of three adjacent faces of a cube are 3, 5 and 15. It's volume is?
Question 2
What is the length of an edge of a cube if the ratio of volume to the total surface area is 7 : 2?
Question 3
What is the volume of rain water collected in a right cylindrical can of radius 8 cm, if 5 cm rainfall is recorded in the city?
Question 4
What is the volume of a right cone whose cross-section is an isosceles triangle with base 14 cm and slant height 25 cm?
392 π sq. cm.
393 π sq. cm.
391 π sq. cm.
$131{2/3}$ π sq. cm.
Ans: a
One of the right triangles of the isosceles triangle has its base = 14/2 = 7. By Pythagorean theorem, the height = $√{25^2 - 7^2}$ = $√{625 - 49}$ = 24. The radius of the base of the cone r = 7 cm, and height h = 24 cm. The volume is $1/3$π$(r^2 × h)$ = $1/3$π$(7^2 × 24)$ = 392π.
Question 5
A cone of height 7 cm and radius of base 14 cm is made up of modeling clay. A child reshapes it in the form of a sphere. What is the radius of the sphere?
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This Blog Post/Article "Volume and Surface Areas Quiz Set 020" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
Updated on 2020-02-07. Published on: 2016-05-11