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find the volume if the edge lengths are 6 ft, a ft, 10 ft and \\(\\frac…

Question

find the volume if the edge lengths are 6 ft, a ft, 10 ft and \\(\frac{1}{3}\\)?

Explanation:

Step1: Identify original edge lengths

Original edges: $6$ ft, $9$ ft, $12$ ft

Step2: Scale each edge by $\frac{1}{3}$

New edges:
$6 \times \frac{1}{3} = 2$ ft,
$9 \times \frac{1}{3} = 3$ ft,
$12 \times \frac{1}{3} = 4$ ft

Step3: Calculate scaled volume

Volume formula: $V = l \times w \times h$
$V = 2 \times 3 \times 4 = 64$

Answer:

$64$ cubic feet