Question

find the volume of the solid.
45 × cm³
1 cm³

Explanation:

Step1: Count the number of cubes in length, width and height

From the figure, assume the length \(l = 5\) cm, width \(w=3\) cm and height \(h = 3\) cm.

Step2: Use the volume formula for a rectangular prism \(V=l\times w\times h\)

Substitute \(l = 5\), \(w = 3\) and \(h=3\) into the formula: \(V=5\times3\times3\)

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Wait, no! Wait, let's recount. If each small cube is \(1\mathrm{cm}^3\), then length \(l = 5\) (5 small cubes), width \(w = 3\) (3 small cubes), height \(h=4\) (4 small cubes). Then \(V=l\times w\times h=5\times3\times4\)

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Answer:

\(60\mathrm{cm}^3\)