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saw5 [17]
3 years ago
14

Find the volume of the figure. Round to the nearest hundredth if necessary. (Figure is not to scale)

Mathematics
2 answers:
Harrizon [31]3 years ago
8 0

Answer:

360 mi³

Step-by-step explanation:

The figure is composed of 2 cuboids

V (front ) = 6 × (11 - 4) × 4 = 6 × 7 × 4 = 168 mi³

V ( back) = 4 × 6 × 8 = 192 mi³

Total volume = 168 + 192 = 360 mi³

aleksklad [387]3 years ago
3 0

Answer:

360 mi^3

Step-by-step explanation:

The figure is composed by two parallelepipeds. For find the volume we have to find the volume of both the solids and the added up the two values

solid  1

length = 11 - 4 = 7 mi

base area = length x width = 7 x 4 = 28 mi^2

V = base area x height = 28 x 6 = 168 mi^3

solid 2

base area = 8 x 4 = 32 mi^2

V = 32 x 6 = 192 mi^3

total volume: 168 + 192 = 360 mi^3

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