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ahrayia [7]
3 years ago
8

What is the volume of the composite figure?

Mathematics
2 answers:
joja [24]3 years ago
7 0

Answer: 372in³

Step-by-step explanation:

All we have to do is find the volume of the two separate rectangular prisms and add them up.

First we will find the volume of the standing prism:

5in * 3in * 12in = 180in³

Now the other prism:

12in * 4in * 4in = 192in³

Now add them up:

180in³ + 192in³ = 372in³

irinina [24]3 years ago
5 0

Answer:

372 inches^{3}

Step-by-step explanation:

Imagine the figures are each separate. The top figure's dimensions would be L=12 in, W=4 in, and H=4 in. The bottom figure's dimensions would be L=5 in, W=3 in, and H=12 in. So, do the volume formula for each: L x W x H and then add them together.

12 x 4 x 4 = 192 inches^3

5 x 3 x 12 = 180 inches^3

192 + 180 = 372 inches^3

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(-1/3x + 9.5) + x(3/4+2.5)
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Answer:

35x + 114

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Step-by-step explanation:

(-1/3x + 9.5) + x(3/4 + 2.5)

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3 years ago
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Step-by-step explanation:

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Given n(J) = 285, n(K) = 197 and n(J ∪ K) = 431, find n(J ∩ K).
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By the inclusion/exclusion principle,

n(J ∩ K) = n(J) + n(K) - n(J U K)

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