the base of rectangular prism has a length of a m and a width of 4 m. if the volume is 64 cubic meters, what is the height of the prism?
Volume of any right prism is
1/3 areabase*height
64= 1/3 l*w*h
solve for height.
Your school subject is NOT altgeld.
Use this formula:
Volume = length * width * height.
To find the height of the rectangular prism, we can use the formula for calculating the volume of a rectangular prism:
Volume = Length × Width × Height.
Given that the length (L) is "a" meters, the width (W) is 4 meters, and the volume (V) is 64 cubic meters, we can set up the equation:
64 = a × 4 × H
To solve for the height (H), divide both sides of the equation by (4 × a):
64 / (4 × a) = H
Simplify the right side:
16 / a = H
Therefore, the height of the rectangular prism is 16/a meters.
To find the height of the rectangular prism, we need to use the formula for the volume of a rectangular prism, which is given by:
Volume = Length x Width x Height
In this case, the length is given as "a" meters, the width is 4 meters, and the volume is 64 cubic meters. We can substitute these values into the formula:
64 = a x 4 x Height
Simplifying the equation, we have:
64 = 4a x Height
Now, to isolate the Height, we need to divide both sides of the equation by 4a:
Height = 64 / (4a)
Therefore, the height of the rectangular prism is 64 divided by the product of 4 and "a".