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kari74 [83]
3 years ago
9

The area of the base of a rectangular prism is 36 cm2. The height of the prism is 3 5/6 cm. What is the volume of the prism?

Mathematics
2 answers:
Art [367]3 years ago
6 0

the answer is D) 138 cm3

Lilit [14]3 years ago
4 0

Answer:  The correct option is (C) 36 cm².

Step-by-step explanation:  We are given to find the volume of a rectangular prism with base area 36 cm² and height 3\frac{5}{6}~\textup{cm}.

We know that the volume of a rectangular prism with base area b sq. units and height h units is given by

V=bh.

Here,

base area, b = 36 cm²

and

height is

h=3\dfrac{5}{6}=\dfrac{23}{6}~\textup{cm}.

Therefore, the VOLUME of the given prism will be

V=bh=36\times \dfrac{23}{6}=6\times 23=138~\textup{cm}^3.

Thus, the volume of the given rectangular prism is 36 cm².

Option (D) is CORRECT.

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4 0
3 years ago
Help! I need this for tomorrow!
Masja [62]
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4 0
3 years ago
What is the coefficient of the x5y5-term in the binomial expansion of (2x – 3y)10? 10C5(2)5(3)5 10C5(2)5(–3)5 –10C5(2)5(–3)5 10C
butalik [34]

ANSWER

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EXPLANATION

The given binomial expansion is:

{(2x - 3y)}^{10}

Compare this to

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We want to find the coefficient of the term

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This implies that, r=5.

The terms in the expansion can be obtained using

T_{r+1}=nC_ra^{n-r}b^r

We substitute the given values to obtain;

T_{5+1}=10C_5(2x)^{10-5}(  - 3y)^5

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3 years ago
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Answer:

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2x - 6 = 2(32) - 6 = 58

Answer: 32°, 58°

8 0
2 years ago
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