A rectangular box has a length of centimeters, a width of centimeters, and a height of centimeters.
What is the volume, in cubic centimeters, of the box?
For volume questions involving rectangular boxes, immediately recall the formula . Identify the three dimensions in the problem, multiply them—often by pairing easy products first (like )—and match your result to the answer choices. Always check that you have used all three dimensions and that your units are in cubic form (cubic centimeters, cubic inches, etc.).
Hints
Think about what volume means
Volume measures how much space a 3D object takes up. For a box, you find it by multiplying its three side lengths.
Identify the three dimensions
Pick out the length, width, and height from the question. All three must be used in your calculation.
Decide which operation to use
Ask yourself: should you be adding, subtracting, or multiplying the three dimensions to get the volume?
Desmos Guide
Use Desmos to multiply the dimensions
In the expression line, type 4*3*5 and look at the numerical result that Desmos gives. That value is the volume of the box in cubic centimeters.
Step-by-step Explanation
Recall the volume formula for a rectangular box
For a rectangular box (rectangular prism), the volume is found by multiplying the three edge lengths:
Substitute the given dimensions
You are given:
- length cm
- width cm
- height cm
Substitute these into the formula:
Multiply to find the volume
First multiply . Then multiply by :
So, the volume of the box is cubic centimeters, which corresponds to choice D.