Question

your answer is incorrect. the solid below is made from cubes. find its volume. 1 yd

Explanation:

Step1: Count the number of cubes along each dimension

From the figure, we can see that there are \(4\) cubes along the length, \(3\) cubes along the width, and \(3\) cubes along the height.

Step2: Calculate the volume of one cube

Since the side - length of one small cube is \(1\) yard, the volume of one cube \(V_{1}=1\times1\times1 = 1\space yd^{3}\) (using the formula \(V = s\times s\times s\) where \(s\) is the side - length of the cube).

Step3: Calculate the total number of cubes

The total number of cubes \(n=4\times3\times3\). Using the formula for the volume of a rectangular prism \(V=n\times V_{1}\) (where \(n\) is the number of unit cubes and \(V_{1}\) is the volume of one unit cube).

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Answer:

\(36\space yd^{3}\)