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A student says that 1 cubic foot holds 12 times more than 1 cubic inch. Do you agree or disagree? Explain. 100 points correct and brain;oest

Sagot :

Answer:

Disagree

Step-by-step explanation:

1 foot = 12 inches

1 square foot = 1 ft x 1 ft = 12 in x 12 in = 144 in²

1 cubic foot = 1 ft x 1 ft x 1 ft - 12 in x 12 in x 12 in = 1728 in³

Therefore 1 cubic foot does not hold 12 times more than 1 cubic inch.

Let's verify

[tex]\\ \rm\hookrightarrow 1ft=12in[/tex]

  • Square on both sides

[tex]\\ \rm\hookrightarrow 1ft^2=144in^2[/tex]

  • Again

[tex]\\ \rm\hookrightarrow 1ft^3=11728in^3[/tex]

  • No no disagree