Alison made a three-layer gelatin dessert that was 15 cm long by 10 cm wide. The heights of the layers were 3 cm,
2 cm, and 1 cm.

A 3-layer prism. The bottom layer has a length of 15, height of 3, and width of 10. The middle layer has a length of 15, height of 2, and width of 10. The top layer has a length of 15, height of 1, and width of 10.

What is the total volume?

The volume of the bottom layer is cm3.
The volume of the middle layer is cm3.
The volume of the top layer is cm3.
The total volume is cm3.

The volume of the prism equals the result of multiplying its height, width, and length. The volume of this gelatin dessert is V = 900 cm³.

How to calculate the volume in a rectangular prism?

Let us remember that the rectangular prism is a polyhedron composed of,

Faces ⇒ There are six faces in total. These are the four lateral rectangles plus the two bases.

Bases ⇒ These are two rectangles of the same size that are parallel to each.

Lateral faces ⇒ Two of them are equal to each other and different from the other two lateral rectangles -which are also equal to each other-.

Height

Vertices ⇒ Eight of them

Corners ⇒ Twelf of them

To calculate the volume (V) of a rectangular prism we need to consider its height (H), width (W), and length (L).

The volume of the prism equals the result of multiplying its height, width, and length. This is,

V = H x W x L

The result must be expressed in cm³ or cubic inches.

In the exposed example,

Total height H ⇒ Σ of the three layers ⇒ 3 cm + 2 cm + 1 cm = 6cm

Width W ⇒ 10 cm

Length L ⇒ 15 cm

V = H x W x L

V = 6cm x 10 cm x 15 cm

V = 900 cm³

You can learn more about volume of rectangular prims at

https://brainly.com/question/17283581

#SPJ2