To find the volume of the prism, we need to calculate the total number of cubes that make up the prism and then multiply that by the volume of each individual cube.
The prism is made up of 6 layers, with each layer containing 6 cubes. So the total number of cubes in the prism is 6 x 6 = 36 cubes.
The volume of each cube is given by V = s^3, where s is the length of one side of the cube.
Given that the length of one side of the cube is 1/4 cm, we can calculate the volume of each cube:
V = (1/4)^3 = 1/64 cm^3
Since there are 36 cubes in the prism, the total volume of the prism is:
Volume = 36 x (1/64) = 36/64 = 9/16 cm^3
Therefore, the volume of the prism is 9/16 cubic centimeters.
The prism below is made of cubes which measure 1/4 of a centimeter on one side. What is the volume of the prism?
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1 answer