N.i-ready.com/student/dashboard/home i-Ready Practice: Measure Volume (>>) What’s the volume of the prism?
The Correct Answer and Explanation is:
To determine the volume of the prism in the image, we can count the unit cubes that make up the prism. From the image:
- The prism has a length of 4 cubes,
- a width of 3 cubes,
- and a height of 5 cubes.
Step-by-Step Volume Calculation:
The formula for the volume VV of a rectangular prism is: V=length×width×heightV = \text{length} \times \text{width} \times \text{height}
Substitute the dimensions: V=4×3×5=60 cubic unitsV = 4 \times 3 \times 5 = 60 \text{ cubic units}
Explanation
The concept of volume refers to the amount of space an object occupies. For 3-dimensional shapes like rectangular prisms, volume is measured in cubic units. A rectangular prism is a 3D shape where all angles are right angles and the opposite faces are equal rectangles. You can think of it as a box.
To find the volume of a rectangular prism, you multiply the number of unit cubes along its length, width, and height. Each unit cube is a 1x1x1 cube, which means it occupies exactly one cubic unit of space.
In the image provided, we are looking at a prism composed of clearly visible unit cubes. By counting, or using the grid structure:
- The base of the prism has 4 cubes along its length and 3 cubes along its width. This gives an area of 12 cubes on the bottom layer (4 × 3 = 12).
- The prism has 5 such layers stacked on top of each other, which determines the height.
So, the total volume becomes: 12 (base area)×5 (height)=60 cubic units12 \text{ (base area)} \times 5 \text{ (height)} = 60 \text{ cubic units}
Understanding how volume works is important in real-life applications like packing, construction, and design. It helps us figure out how much space is available or needed. Whether filling a box, pouring liquids into a container, or constructing a building, knowing how to calculate volume is a vital math skill.
Final Answer: 60 cubic units.
