Question

what is the volume of the plant stand?
a 1,522 cubic inches
b. 1,592 cubic inches
c 1,632 cubic inches
d. 1,728 cubic inches

1. gaby has two boxes stacked on a shelf in her a

what is the total volume of the boxes?
a 192? inches³
b. 300? inches³
c. 392? inches³
d. 492? inches³

Explanation:

Step1: Calculate the volume of the first box

The formula for the volume of a rectangular prism is \(V = l\times w\times h\). For the first box with \(l = 6\) inches, \(w = 4\) inches, \(h = 8\) inches, we have \(V_1=6\times4\times8 = 192\) cubic inches.

Step2: Calculate the volume of the second box

For the second box with \(l = 15\) inches, \(w = 4\) inches, \(h = 5\) inches, using the volume formula \(V = l\times w\times h\), we get \(V_2 = 15\times4\times5=300\) cubic inches.

Step3: Calculate the total volume

The total volume \(V = V_1 + V_2\). Substitute \(V_1 = 192\) and \(V_2=300\) into the formula: \(V=192 + 300=492\) cubic inches.

Answer:

D. 492 cubic inches