Advertisements
Advertisements
प्रश्न
The cross section of a piece of metal 2 m in length is shown. Calculate the area of cross section.
Advertisements
उत्तर
Divide the figure into 1 rectangle and 1 triangle.
Dimensions of the rectangle:
length = 8cm
breadth = 6cm
Area of rectangle
= length x breadth
= 8 x 6
= 48cm2 ...(1)
Dimensions of the triangle:
base
= 12 - 6
= 6cm
height
= 8 - 5
= 3cm
Area of a triangle
= `(1)/(2) xx "b" xx "h"`
= `(1)/(2) xx 6 xx 3`
= 9cm2 ...(2)
Area of the cross section
= 48 + 9
= 57cm2
∴ Area of the cross section is 57cm2.
APPEARS IN
संबंधित प्रश्न
The following figure shows a closed victory-stand whose dimensions are given in cm.
Find the volume and the surface area of the victory stand.
A rectangular water-tank measuring 80 cm x 60 cm is filled form a pipe of cross-sectional area 1.5 cm2, the water emerging at 3.2 m/s. How long does it take to fill the tank?
A school auditorium is 40 m long, 30 m broad and 12 m high. If each student requires 1.2 m2 of the floor area; find the maximum number of students that can be accommodated in this auditorium. Also, find the volume of air available in the auditorium, for each student.
Find the length of a solid cylinder of diameter 4 cm when recast into a hollow cylinder of outer diameter 10 cm, thickness 0.25 cm and length 21 cm? Give your answer correct to two decimal places.
The cross section of a piece of metal 2 m in length
is shown. Calculate the volume of the piece of metal.
The figure represents the cross section of a swimming pool 10 m broad, 2 m deep at one end, 3 m deep at the other end. Calculate the volume of water it will hold when full, given that its length is 40 m.
A swimming pool is 50 m long and 15 m wide. Its shallow and deep ends are 1.5 m and 4.5 m respectively. If the bottom of the pool slopes uniformly, find the amount of water in kilolitres required to fill the pool (1 m3 = 1000 liters).
The figure shows the cross section of 0.2 m a concrete wall to be constructed. It is 0.2 m wide at the top, 2.0 m wide at the bottom and its height is 4.0 m, and its length is 40 m. Calculate the volume of the concrete in the wall
The cross section of a tunnel perpendicular to its length is a trapezium ABCD as shown in the figure. AM = BN; AB = 4.4 m, CD = 3 m The height of a tunnel is 2.4 m. The tunnel is 5.4 m long. Calculate the cost of painting the internal surface of the tunnel (excluding the floor) at the rate of Rs. 5 per m2.
ABCDE is the end view of a factory shed which is 50 m long. The roofing of the shed consists of asbestos sheets as shown in the figure. The two ends of the shed are completely closed by brick walls.
If the cost of asbestos sheet roofing is Rs. 20 per m2, find the cost of roofing.
