Question

....................

Answer 1

46 ft³

Explanation:

You want the volume of the composite figure shown.

Composition

The figure is comprised of 3 cuboids. Their respective dimensions are ...

• 3 ft × 8 ft × 1 ft
• 5 ft × 1 ft × 2 ft
• 4 ft × 3 ft ×1 ft

Volume

The volume of each part is the product of its dimensions. The volume of the whole is the sum of the volumes of the parts:

V = (3 ft)(8 ft)(1 ft) + (5 ft)(1 ft)(2 ft) + (4 ft)(3 ft)(1 ft) = 46 ft³

The volume of the figure is 46 cubic feet.

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