The volume of the rectangular prism that Mara builds is 131820 cm³
Step-by-step explanation:
To find the volume of the rectangular prism we need to find the
the number of unit cubes she uses to build it
The given is:
1. She uses unit cubes of side length 13 cm
2. The base of the prism has a total of 12 cubes
3. The prism is 5 cubes in height
That means she made 5 rows each row has 12 cubes
The volume of the prism is equal to the volume of the unit cubes she
uses to build the prism
∵ The prism consists of 5 rows of unit cubes each row has
12 unit cubes
∴ The number of the unit cubes = 12 × 5 = 60 unit cubes
∵ The side of each unit cube is 13 cm
∵ The volume of a cube = s³, where s is the length of its side
∴ The volume of a cube = (13)³ = 2197 cm³
∵ The volume of the prism = number of the cubes × volume of 1 cube
∵ The number of the cubes = 60
∵ The volume of 1 cube = 2197 cm³
∴ The volume of the prism = 60 × 2197 = 131820 cm³
The volume of the rectangular prism that Mara builds is 131820 cm³
Learn more:
You can learn more about volume in brainly.com/question/12497249
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