Question

luke bought three canvas boxes to store his papers. the canvas boxes have dimensions of 12 inches by 10 inches by 12 inches. what volume of items can the three canvas boxes hold?
32 in³
102 in³
1,440 in³
4,320 in³

Explanation:

Step1: Calculate the volume of one canvas box

The volume \(V\) of a rectangular prism (canvas box) is given by the formula \(V = l\times w\times h\), where \(l = 12\) inches, \(w=10\) inches, and \(h = 12\) inches.

$$V=12\times10\times12$$

$$V = 1440\space in^{3}$$

Step2: Calculate the volume of three canvas boxes

Since there are three canvas boxes, we multiply the volume of one box by \(3\).

$$V_{total}=3\times1440$$

$$V_{total}=4320\space in^{3}$$

Answer:

4,320 \(in^{3}\)