A rectangular water reservoir contain 36000 L of water . Find the depth of the water in reservoir, find the surface area of the reservoir.
Answers
Answer:
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Step-by-step explanation:
Height of reservoir = 1.125 m and surface are of reservoir = 59 m²
Step-by-step explanation:
Given: Dimensions of Base of Measure of Reservoir = 8 m × 4 m
Capacity or volume of reservoir = 36000 l
To find: height and surface are of Reservoir
Length of Reservoir = 8 m
Width of reservoir = 4 m
Capacity of reservoir = 36000 l =\,\frac{36000}{1000}=100036000 = 36 m³
Volume of reservoir = volume of cuboid
36 = length × width × height
36 = 8 × 4 × heigth
36 = 32 × height
height =\,\frac{36}{32}=3236
height = 1.125 m
Surface are of reservoir = Curved surface are of cuboid + area of rectangle
= 2 × heigth × (length + width) + length × width
= 2 × 1.125 ( 8 + 4 ) + 8 × 4
= 2.25 × 12 + 32
= 27 + 32
= 59 m²
Therefore, height of reservoir = 1.125 m and surface are of reservoir = 59 m²