Question
On a rectangular wall of length 35 metres and height 30
metres, there is a window in the shape of triangle surmounted on a square. If the base of triangle and square overlap and length of each side of the square is 10 metres and length of altitude of the triangle is 8 metres, then excluding the window, what is the surface area of the wall?(in cm 2)Solution
Surface area of the entire wall = length × height = 35 × 30 = 1050 m2 Surface area of the window = sum of surface area of the square part + surface area of the triangular part => 102 + (1/2) × 10 × 8 => 100 + 40 = 140m2 Required surface area = 1050 – 140 = 910m2
A right square pyramid has a square base of side 10 cm and vertical height 12 cm. Find:
(i) its volume,
(ii) its slant height,
(iii...
The ratio of length to breadth of a rectangle is 5:4, respectively. Perimeter of rectangle is 144 cm. If each side of a square is 25% more than the brea...
A cylinder 84 cm long is made of steel. Its external and internal diameters are 10 cm and 8 cm respectively. What is the volume of the steel in the cyli...
Find the circumference and area of a circle of radius 7 cm. Take π = 22/7.
The area of a rhombus is 170 cm2. The length of one of its diagonals is 20 cm. The length of the other diagonal is:
- Three cubes, each having a side length of 9 cm, are connected in a straight line. Calculate the total surface area of the formed cuboid.
Radius of a cylindrical vessel is 3cm less than breadth of rectangle, while height of cylindrical vessel is equal to length of rectangle, whose area is ...
In a rectangle, the ratio of length and breadth is 3:2 and its perimeter is 240 cm, then what the area of the rectangle?
The cost of fencing a rectangular field at the rate of Rs. 6/metre is Rs. 360. If the length of the field is 11 metres more than its breadth, then find ...
Cost of two types of pulses is Rs.25 and Rs, 30 per kg, respectively. If both the pulses are mixed together in the ratio 2:3, then what should be the pr...