Question

what is the total volume of the boxes?
a 48? inches³
b 72? inches³
c 120? inches³
d 168? inches³

1. greg stacks two boxes on a shelf as shown.

what is the total volume of the boxes?
a 312 cubic inches
b 960 cubic inches
c 1,500 cubic inches
d 1,600 cubic inches

Explanation:

Step1: Calculate the volume of the bottom box

The volume formula for a rectangular prism is \(V = l\times w\times h\). For the bottom box, \(l = 20\) in, \(w = 8\) in, \(h = 6\) in.

$$V_1=20\times8\times6 = 960\ \text{cubic inches}$$

Step2: Calculate the volume of the top box

For the top box, \(l = 10\) in, \(w = 8\) in, \(h = 8\) in.

$$V_2 = 10\times8\times8=640\ \text{cubic inches}$$

Step3: Calculate the total volume

Add the volumes of the two boxes: \(V = V_1+V_2\)

$$V=960 + 640=1600\ \text{cubic inches}$$

Answer:

D. 1,600 cubic inches