a rectangular prism has a volume of 132 cubic centimeters . the length of the base is 4 centimeters and the widtyh of the base is 3 centimeters, what is the height of the prism?
To find the height of the rectangular prism, we can use the formula for the volume of a rectangular prism:
Volume = Length x Width x Height
Given:
Volume = 132 cubic centimeters
Length = 4 centimeters
Width = 3 centimeters
Let's substitute these values into the formula:
132 = 4 x 3 x Height
To find the Height, simplify the equation:
132 = 12 x Height
Now, divide both sides of the equation by 12:
Height = 132 / 12
Calculating this gives us:
Height = 11 centimeters
Therefore, the height of the rectangular prism is 11 centimeters.
To find the height of the prism, we can use the formula for the volume of a rectangular prism:
Volume = Length × Width × Height
Given:
Volume = 132 cubic centimeters
Length of the base = 4 centimeters
Width of the base = 3 centimeters
Let's substitute these values into the formula and solve for the height:
132 = 4 × 3 × Height
To isolate the height, we divide both sides of the equation by (4 × 3):
132 ÷ (4 × 3) = Height
132 ÷ 12 = Height
Height = 11
Therefore, the height of the rectangular prism is 11 centimeters.
A "rectangular prism" is just a fancy mathematical name for a plain old box
Volume = LxWxH
(4)(3)H= 132
H = 11