Parts of a Rectangular Prism Practice Problems & Exercises

"Edges" is the name of the box's sides. Since a box is a three-dimensional shape, we call these parts edges.

Counting the edges of a box, we can see that there arehas 12 edges:

To solve this problem, we need to identify the correct formula for the volume of a cuboid:

A cuboid is defined by three dimensions: length ($l$), width ($w$), and height ($h$). To find the volume of a cuboid, we use the formula:

$V = l \times w \times h$

Given the answer choices:

• Choice 1: $l \times 2 \times w$
• Choice 2: $l \times w \times h$
• Choice 3: $l \times w$
• Choice 4: $w \times h$

The formula for the volume of a cuboid is explicitly listed in Choice 2, which is $l \times w \times h$. This matches the standard mathematical formula for volume.

Thus, the correct answer to the problem is Choice 2: $\text{length } \times \text{width } \times \text{height}$.

Let's look at the face AEHD

In it, there is another diagonal equal to ED, which is AH

Let's look at the face BFGC which is identical and equal to AEHD, in which there are two diagonals that are also equal to ED:

$FC=BG=ED$

A box diagonal is a diagonal that passes between two vertices that are not connected,
meaning, the diagonal passes through the box, and not on one of its edges.

Let's see which of the segments in the answers passes entirely through the box from end to end.

AC, HF and FC are all diagonals that lie on the edges of the box, therefore the segment that fits this description is BH.