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alexgriva [62]
3 years ago
10

Each cube in this figure is a -millimeter cube. What is the total volume of the prism?

Mathematics
2 answers:
alekssr [168]3 years ago
7 0

Answer:

  • D. 9 mm³

Step-by-step explanation:

<u>Given</u>

  • Dimension of the prism: 3x4x6
  • Side of each small cube: 1/2 mm

<u>Volume of the prism in terms of the number of small cubes:</u>

  • 3*4*6 = 72

<u>Volume of each unit cube:</u>

  • V = (1/2)³ = 1/8 mm³

<u>Volume of the prism:</u>

  • 72*1/8 = 9 mm³

Correct choice is D

nadezda [96]3 years ago
4 0

Answer:

D. 9 mm³

Step-by-step explanation:

Dimension of the prism

= 3 * 4* 6

side of each small cube

= 1/2 mm

In terms of number of small cubes , volume of the prism = 3 *4 * 6= 72

Volume of each unit of cube

= (1/2)³

= 1/ 8 mm³

Volume of the prism

= 72 * 1/8

= 9 mm³

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