Practice Mensuration Questions and Answers

• The length, breadth and height of a storeroom are 15m, 8m and 9m respectively. If each box occupies 40 m3 of space, then how many boxes can be placed in th...
• The length, breadth and height of a storeroom are 16m, 9m and 10m respectively. If each box occupies 60 m3 of space, then how many boxes can be placed in t...
• The length, breadth and height of a storeroom are 12m, 7m and 10m respectively. If each box occupies 40 m3 of space, then how many boxes can be placed in t...
• The length, breadth and height of a storeroom are 12m, 9m and 10m respectively. If each box occupies 60 m3 of space, then how many boxes can be placed in t...
• Perimeter of a square is equal to perimeter of a rectangle, if area of square is 441 sq.cm and length of rectangle is four times that of breath. Find the a...
• Perimeter of a square is equal to perimeter of a rectangle, if area of square is 324 sq.cm and length of rectangle is two times that of breath. Find the ar...
• Perimeter of a square is equal to perimeter of a rectangle, if area of square is 900 sq.cm and length of rectangle is four times that of breath. Find the a...
• A sold a mobile phone to B at a gain of 25% and B sold it to Cat a loss of 10%. If C paid 5625 for it, how much did A pay (in) for the phone?
• The angle of elevation of the top of an unfinished tower at a point distant 78 m from its base is 30°. How much higher must the tower be raised (in m) ...
• Some students (only boys and girls) from different schools appeared for an Olympiad exam. 20% of the boys and 15% of the girls failed the exam. The number ...
• If (x + 6y) = 8, and xy = 2, where x > 0, what is the value of (x3 + 216y³)?
• The length of a rectangle is twice its breadth. If its length is decreased by 6 cm and breadth is increased by 6 cm, the area of the rectangle is increased...
• A barrel has 140 liters of mixture of alcohol and water, in which water is 10%. 30 litre of this mixture was taken out and replaced with “X” li...
• A certain sum is deposited for 4 years at a rate of 10% per annum on compound interest compounded annually. The difference between the interest at the end ...
• An equilateral triangle ABC is inscribed in a circle with centre O. D is a point on the minor are BC and ∠ CBD = 40°. Find the measure of ∠ BCD...
• A solid cube of side 8 cm is dropped into a rectangular container of length 16 cm, breadth 8 cm and height 15 cm which is partly filled with water. If the ...
• An item costs ₹400. During a festival sale, a company offers a sale discount that offers x% off on its regular price along with a discount coupon of 10%....
• AB is a diameter of a circle with centre O. A tangent is drawn at point A. C is a point on the circle such that BC produced meets the tangent at P. If ∠ ...
• Monthly income of A is Rs. 9600 and he saves 38% of his monthly income. If monthly expenditure of A is decreased by 35% while his monthly savings is increa...
• The sum of the monthly incomes of ‘A’, ‘B’ and ‘C’ is Rs. 50000 which is 4 times the monthly income of ‘C’....
• Raman gave a certain amount to his son Ritesh for buying some pens and pencils.  With this amount Ritesh can purchase either 10 pens or 30 pencils. Ri...
• Ali the barber shaved 32% of his customers and gave a haircut to 64% of his customers. He charged Rs. 6 for a shave and Rs. 4 for a haircut. If 15% of cust...
• A candidate just passed by getting 150 answers correct by attempting 225 of the total questions. Find the total number of questions in the examination if a...
• A Sales Executive gets a commission on total sales at 10%. If the sale is exceeded Rs.15,000 he gets an additional commission as a bonus of 5% on the exces...
• The sum of the perimeters of a square and a rectangle is 120 metres. If the sum of the length and breadth of the rectangle is 30 m, then find the area of t...
• The sum of the perimeters of a square and a rectangle is 124 metres. If the sum of the length and breadth of the rectangle is 34 cm, then find the area of ...
• The sum of the perimeters of a square and a rectangle is 132 metres. If the sum of the length and breadth of the rectangle is 34 cm, then find the area of ...
• The sum of the perimeters of a square and a rectangle is 120 metres. If the sum of the length and breadth of the rectangle is 28 cm, then find the area of ...
• The sum of the perimeters of a square and a rectangle is 120 metres. If the sum of the length and breadth of the rectangle is 32 cm, then find the area of ...
• The sum of the perimeters of a square and a rectangle is 118 metres. If the sum of the length and breadth of the rectangle is 31 cm, then find the area of ...
• The sum of the perimeters of a square and a rectangle is 118 metres. If the sum of the length and breadth of the rectangle is 33 cm, then find the area of ...
• The angle of elevation of the top of a tower from a point on ground which is 30 mtrs. away from the foot of the tower is 30°. Height of the tower is: 1.10...
• A metallic sphere of radius 4.2 cms. Is melted and recast into the shape of a cylinder of radius 6 cms. Height of the resultant cylinder would be:
• The perimeter of an equilateral triangle is 36√3 cm. Find its height.
• A solid metallic rectangular block of dimensions 112 cm × 44 cm × 25 cm is melted and recast into a cylinder of radius 35 cm. The curved surface area (in...
• If the sides of a triangle measure 21 cm, 35 cm and 28 cm, what is the measure of its in radius? (in cm)
• The sides of a triangular park are 96 m, 110 m and 146 m. Its area is equal to the area of a field in the shape of a rhombus, one of whose diagonals is 60 ...
• The circumference of a circle is 44 cm and the length of the rectangle is 4 times the radius of the circle. Find the area (in cm2) of the rectangle, if the...
• The circumference of a circle is 55 cm and the length of the rectangle is 8 times the radius of the circle. Find the area (in cm2) of the rectangle, if the...