We have been given that a prism has a square base with a side length of 4 1/2 feet. The height of the prism is 6 feet. We are asked to find the volume of the prism.

We know that volume of prism is base area times height.

$\text{Area of base}=\text{Area of square}=\text{Side length}^2$

$\text{Area of base}=(4\frac{1}{2})^2$

$\text{Area of base}=(\frac{9}{2})^2$

$\text{Area of base}=\frac{9^2}{2^2}$

$\text{Area of base}=\frac{81}{4}$

$\text{Volume of prism}=\frac{81}{4}\times 6$

$\text{Volume of prism}=\frac{81}{2}\times 3$

$\text{Volume of prism}=\frac{243}{2}$

$\text{Volume of prism}=121\frac{1}{2}$

Therefore, the volume of prism is $121\frac{1}{2}\text{ ft}^3$ and option D is the correct choice.

4 0

4 years ago

In the equation 3x^2-10x=8 please solve for x and show work ty !

RSB [31]

Answer:

x=4,-2/3

Step-by-step explanation:

To solve for x, we first subtract 8 from both sides.

So 3x^2-10x-8=0

Using the quadratic formula, we get

X=(10+sqrt(100+96))/6 or x = (10-sqrt(100+96))/6

So x=(10+14)/6 or x=(10-14)/6

So x=4 or x=-2/3.

8 0

3 years ago

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Latasha reads 9 pages in 3 minutes. Latasha reads at a rate of

pav-90 [236]

Answer:

3 pages per minute.

Step-by-step explanation:

If we know that she reads 9 pages in 3 minutes, then we can divide the whole speed by 3 to get how much she reads in one minute.
3 pages in 1 minute.

3 0

2 years ago

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