Question

1. what is the volume for a donut box that has a length of 9 inches, width of 4 inches, and height of two inches? 11) delilah built a rectangular prism with unit - cubes. the area of the base of her structure was 20 unit cubes. she made the structure 4 layers high. what is the volume of her rectangular prism? 12) penelopes pizzeria knows that the volume of their pizza box is 12 cubic units. which of the following could be the possible dimensions? mark all that apply. a. 1x12x1 b. 3x2x2 c. 6x3x1 d. 1x3x4

Explanation:

Step1: Recall volume formula for rectangular prism

The volume $V$ of a rectangular prism is $V = l\times w\times h$ (or $V=A_{base}\times h$, where $A_{base}$ is the area of the base).

Step2: Solve question 10

Given $l = 9$ inches, $w = 4$ inches, $h=2$ inches. Using $V=l\times w\times h$, we have $V = 9\times4\times2=72$ cubic - inches.

Step3: Solve question 11

Given $A_{base}=20$ unit - cubes and $h = 4$ layers. Using $V = A_{base}\times h$, we get $V=20\times4 = 80$ unit - cubes.

Step4: Solve question 12

For option A: $V=1\times12\times1=12$ cubic units.
For option B: $V = 3\times2\times2=12$ cubic units.
For option C: $V=6\times3\times1 = 18$ cubic units.
For option D: $V=1\times3\times4=12$ cubic units.
The correct options are A. $1\times12\times1$, B. $3\times2\times2$, D. $1\times3\times4$.

Answer:

1. 72 cubic inches
2. 80 unit - cubes
3. A. $1\times12\times1$, B. $3\times2\times2$, D. $1\times3\times4$