You can find the volume by using a model by counting how many cubes are in the front and multiply it by the width. Kinda like length x width x height.
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In general, the associative property cannot be used for this purpose. The volume of a prism is the area of cross section multiplied by the length, and except in the case of a rectangular prism, there is no scope for using the associative property.
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To determine the number of different rectangular prisms that can be made with 10 cm cubes, we need to consider the dimensions of each prism. A rectangular prism has three dimensions: length, width, and height. Since each side of the prism can be made up of multiple cubes, we need to find all the possible combinations of dimensions that can be formed using 10 cm cubes. This involves considering factors such as the number of cubes available and the different ways they can be arranged to form unique rectangular prisms.
To determine the number of rectangular prisms that can be formed using exactly 36 cubes, we need to find all the possible combinations of dimensions that can multiply to give 36. The factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, and 36. Each factor corresponds to a unique rectangular prism. Therefore, there are 9 different rectangular prisms that can be formed using exactly 36 cubes.
Base x Height.... The base of a cylinder is a circle. So you first find the area of the circle. pi times the radius squared. (for example, with a cylinder with a radius of 2in and a height of 3in, the area of the base would be about 2 x 2 x 3.14 = 12.56 Then you multiply the area of the base with the height. So going with our example, 12.56 x 3 = 37.68 inches. Think about it this way: The volume of a rectangular prism is length x width x height. The base of a rectangular prism is a rectangle , and to find the area of that is length x width. So it's the area of the base (which is length x width) x the height.