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Mathematics quiz on Mensuration (25-09-2020)

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Question 1

In the following figure, the base of a right pyramid is a cube. The side of the cube is 8 cm and total height of the figure is 20 cm, then what is the volume (in cm3) of whole structure?

Question 2

The lateral surface area of a prism with an equilateral triangle base is 60√3 cm2. If the volume of the right prism is 30√3 cm3. Find the length of the side of the equilateral triangle base.

Question 3

The curved surface area of a hemisphere is 539 cm2 more than the total surface area of a sphere. If the radius of the sphere is 60% of that of hemisphere, then find the total surface area of hemisphere?

Question 4

If the curved surface area of a cone is 90% of the total surface area of a cone, then the volume of the cone is how much times the cube of the height of the cone?

Question 5

The sum of each side of even tetrahedron is 36 cm then find the volume of tetrahedron.

Question 6

Two circle of radius 3 cm and 6 cm intersect each other in such a way that their common chord is maximum. Then what is the area of the region that is common to the circle?

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Question 7

Gaurav and Pandey have a rectangular field of area 20,000 m2. They decided to divide it into two equal parts by dividing width with a single straight line. Gaurav wanted to fence their land immediately. So they incurred total expenses for the fencing all the four side alone at Rs. 2 per meter, then what is the minimum cost that Gaurav had to pay?

Question 8

From a random point in an equilateral triangle, the sum of the lengths of the perpendicular bisectors from the point to the side of the triangle is 18 cm. Find the perimeter of the equilateral triangle.

Question 9

The area of a square field is 3600m2. How much time it will take to reach from one of its corner to the opposite corner at the rate of 10m in every 30 second?

Question 10

Around a circular park with area 15400 cm2 path of width 7 cm is to be made outside it. If the cost of building per square centimeter of this path is Rs. 20 find the cost of making the path?
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