Advertisements
Advertisements
Question
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.
Solution
Area of trapezoid
= `(1)/(2) xx ("Sum of parallel sides") xx "height"`
= `(1)/(2) xx (3 + 5) xx 2`
= 8m2
Volume of the canal
= Area of trapezoid x Length
= 8 x 400
= 3200m3
∴ The volume of water that it holds is 3200m3.
APPEARS IN
RELATED QUESTIONS
A swimming pool is 40 m long and 15 m wide. Its shallow and deep ends are 1.5 m and 3 m deep respectively. If the bottom of the pool slopes uniformly, find the amount of water in liters required to fill the pool.
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 cross-section of a piece of metal 4 m in length is shown below. Calculate :
(i) The area of the cross-section;
(ii) The volume of the piece of metal in cubic centimeters.
If 1 cubic centimeter of the metal weighs 6.6 g, calculate the weight of the piece of metal to the nearest kg.
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`.
The cross section of a piece of metal 2 m in length is shown. Calculate the area of cross section.
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 flooring at the rate of Rs.2. 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.
Calculate the total volume content of the shed.
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.
