Advertisements
Advertisements
Question
The cross section of a piece of metal 2 m in length is shown. Calculate the area of cross section.
Advertisements
Solution
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
RELATED QUESTIONS
A swimming pool is 18 m long and 8 m wide. Its deep and shallow ends are 2 m and 1.2 m respectively. Find the capacity of the pool, assuming that the bottom of the pool slopes uniformly.
The internal dimensions of a rectangular box are 12 cm x `x` cm x 9 cm. If the length of the longest rod that can be placed in this box is 17 cm; find `x`.
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.
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. If the whole wall is to be painted, find the cost of painting it at 2.50 per sq m.
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.
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.
Find the total surface area (including roofing) of the shed.
The cross section of a swimming pool is a trapezium whose shallow and deep ends are 1 m and 3 m respectively. If the length of the pool is 50 m and its width is 1.5 m, calculate the volume of water it holds.
The cross section of a canal is a trapezium with the base length of 3 m and the top length of 5 m. It is 2 m deep and 400 m long. Calculate the volume of water it holds.
