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s2008m [1.1K]
3 years ago
10

A rectangular prism has a length of 9 cm, a width of 5 cm, and its volume is 180 cubic centimeters. What is the height of the pr

ism?
Mathematics
2 answers:
Ivahew [28]3 years ago
8 0

Answer:

Right rectangular prism

Solve for height

h=4cm

l Length

9

cm

w Width

5

cm

V Volume

180

cm³

Papessa [141]3 years ago
3 0

Answer:

Step-by-step explanation:

volume of rectangular prism=l×w×h

9×5×h=180

h=4 cm

where h is the  height of prism.

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<u>A</u><u>r</u><u>i</u><u>t</u><u>h</u><u>m</u><u>e</u><u>t</u><u>r</u><u>i</u><u>c</u>

\displaystyle \large{a_{n + 1} - a_n = d}

d stands for a common difference. Common Difference means that sequences must have same difference after subtracting.

<u>G</u><u>e</u><u>o</u><u>m</u><u>e</u><u>t</u><u>r</u><u>i</u><u>c</u>

\displaystyle \large{ \frac{a_{n + 1}}{a_n}  = r}

r stands for a common ratio.

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Let's check by divide -54 by 18 and 162 by -54. We need to divide more than one so we can prove that the sequence is geometric.

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Hence, the sequence is geometric.

Because the common ratio is -3. Let these be the following:

\displaystyle \large{ a_{n + 1} = y } \\  \displaystyle \large{ a_n = 2 } \\  \displaystyle \large{ r =  - 3 }

From the:

\displaystyle \large{ \frac{a_{n + 1}}{a_n}  = r}

Substitute the values in.

\displaystyle \large{ \frac{y}{2}  =  - 3}

Multiply the whole equation by 2 to isolate y.

\displaystyle \large{ \frac{y}{2} \times 2  =  - 3 \times 2} \\  \displaystyle \large{ y =  - 6}

Therefore, the value of y is -6.

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