Find the height of a cuboid whose volume is 168 cubic metre and the area of the base is 28 square metre.
The length of a reservoir is 2.5m. It's width is 2 m and its height is 4 m. If it is half-filled with water, find the volume of the water in the reservoir.
Pls consider and help me**
L w h = 168
but
L w = 28
so
h = 168/28
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(1/2) (2.5)(2)(4) = Volume
To find the height of a cuboid whose volume is 168 cubic meters and the area of the base is 28 square meters, we can use the formula for the volume of a cuboid:
Volume = Base area × Height
Given that the volume is 168 cubic meters and the area of the base is 28 square meters, we can substitute these values into the formula:
168 = 28 × Height
To solve for Height, we can rearrange the equation:
Height = 168 / 28
Calculating the division, we find that the height of the cuboid is 6 meters.
Now, moving on to the second question. We are given the dimensions of a reservoir, which has a length of 2.5 meters, a width of 2 meters, and a height of 4 meters. Since the reservoir is half-filled with water, we need to calculate the volume of the half-filled reservoir.
The formula for the volume of a cuboid is:
Volume = Length × Width × Height
Substituting the given values, we have:
Volume = 2.5 × 2 × 4
Calculating the multiplication, we find that the volume of the reservoir is 20 cubic meters.
Since the reservoir is half-filled with water, we need to find the volume of the water in the reservoir. This can be calculated as half of the volume of the reservoir:
Water Volume = Volume of reservoir / 2
Substituting the value of the reservoir volume:
Water Volume = 20 / 2
Calculating the division, we find that the volume of the water in the reservoir is 10 cubic meters.