Mensuration Model Questions Set 1 Practice Questions Answers Test with Solutions & More Shortcuts

Question : 6

The perimeter of a triangular field is 240 m. If two of its sides are 78 m and 50 m, then what is the length of the perpendicular on the side of length 50 m from the opposite vertex?

a) 67.2 m

b) 43 m

c) 52.2 m

d) 70 m

Question : 7

A tent is in the form of a right circular cylinder surmounted by a cone. The diameter of the cylinder is 24 m. The height of the cylindrical portion is 11 m, while the vertex of the cone is 16 m above the ground. What is the area of the curved surface for conical portion?

a) 3432/7 sq m

b) 3434/9 sq m

c) 3431/8 sq m

d) 3234/7 sq m

Question : 8

A gardener increased the area of his rectangular garden by increasing its length by 40% and decreasing its width by 20%. The area of the new garden

a) has increased by 8%.

b) has increased by 20%.

c) has increased by 12%.

d) is exactly the same as the old area.

Question : 9

A cistern 6 m long and 4 m wide contains water up to a depth of 1 m 25 cm. The total area of the wet surface is:

a) 53.5 $m^2$

b) 49 $m^2$

c) 50 $m^2$

d) 55 $m^2$

Question : 10

The curved surface area of a right circular cone is 1.76 $m^2$ and its base diameter is 140 cm. What is the height of the cone?

a) 20 $√2$ cm

b) 10 cm

c) 10 $√2$ cm

d) 10 $√{15}$ cm