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3 years ago

Q3:

Mathematics

1 answer:

mestny [16]3 years ago

5 0

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

<em>The volume of the rectangular prism that Mara builds is 131820 cm³</em>

Learn more:

You can learn more about volume in brainly.com/question/12497249

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