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tatuchka [14]
2 years ago
8

What expression represents the volume of the prism, in cubic units? one-halfx3 one-halfx2 x 2x3 2x2 x

Mathematics
1 answer:
otez555 [7]2 years ago
7 0

Volume of prism = \frac{1}{2x^{3} } + x^{2}

Given that:

The oblique prism below has an isosceles right triangle base and the length of the base is x

=> the area of the base: \frac{1}{2} × x × x = \frac{1}{2}

The vertical height of the prism is (x + 2)

=> The volume of the oblique prism is:

                    V = the base area * the vertical height

<=> V = \frac{1}{2} x^{2} (x + 2)

<=> V =  \frac{1}{2x^{3} } + x^{2}

To learn more about volume of the prism from the given link

brainly.com/question/15892907

#SPJ4

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Explanation:

With the use of a calculator, we see that,

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So 3/150 converts to the terminating decimal 0.02

The word "terminate" means "stop". In the other decimal values, the decimal digits go on forever repeating the patterns mentioned.

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A non-calculator approach will have us simplify 3/150 into 1/50 after dividing both parts by the GCF 3. Then notice how 50 has the prime factorization of 2*5*5. The fact that the denominator 50 can be factored in terms of only 2's and 5's is enough evidence to conclude that the fraction converts to a terminating decimal.

If the denominator factors into some other primes, other than 2s and 5s, then we don't have a terminating decimal. So that's why 11/19, 4/7 and 1/3 convert to non-terminating decimals.

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