Question

lydia fills a box with unit cubes. which expressions can be used to find the volume of the box? choose all the correct answers. 12×2 3 + 4+2 12 + 8+6 12+12 3×4×2

Explanation:

Step1: Recall volume formula

The volume of a rectangular - prism (box) filled with unit cubes is given by \(V = l\times w\times h\), where \(l\), \(w\), and \(h\) are the length, width, and height respectively. If we assume the dimensions of the box are \(3\), \(4\), and \(2\) (since \(3\times4\times2\) represents the volume calculation), then \(V=3\times4\times2 = 24\).

Step2: Evaluate each expression

• For \(12\times2\): \(12\times2 = 24\).
• For \(3 + 4+2\): \(3 + 4+2=9

eq24\).

• For \(12 + 8+6\): \(12 + 8+6 = 26

eq24\).

• For \(12+12\): \(12 + 12=24\).
• For \(3\times4\times2\): \(3\times4\times2 = 24\).

Answer:

12×2, 12 + 12, 3×4×2