Question

understand volume
1 attend to precision find the dimensions of the right rectangular prism shown in the diagram. the unit cube represents a volume of 1 cubic unit.
2 use structure it builds a right rectangular prism with 14 centimeter cubes in the bottom layer with two gaps for volume. if there are 6 layers, what is the volume of the right rectangular prism?
find the volume in cubic units.
images of rectangular prisms here

Explanation:

Looking at the "Use Structure" problem: We need to find the volume of a right rectangular prism. The bottom layer has 14 one - centimeter cubes and there are 6 layers.

Step1: Recall the volume formula for a prism with unit cubes

The volume of a right rectangular prism made up of unit cubes can be found by multiplying the number of cubes in one layer (the area of the base, in terms of unit cubes) by the number of layers (the height, in terms of unit cubes). The formula is $V = n\times l$, where $n$ is the number of cubes in one layer and $l$ is the number of layers.

Step2: Identify the values of n and l

We know that the number of cubes in one layer $n = 14$ (since the bottom layer has 14 one - centimeter cubes) and the number of layers $l=6$.

Step3: Calculate the volume

Using the formula $V=n\times l$, we substitute $n = 14$ and $l = 6$ into it. So $V=14\times6 = 84$. Since each cube has a volume of 1 cubic centimeter, the volume of the prism is 84 cubic centimeters.

Answer:

84 cubic centimeters