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3 years ago

Factor completely, then place the answer in the proper location on the grid. 9x 4 -225y 8

Mathematics

1 answer:

Darina [25.2K]3 years ago

7 0

3x^2(2x^2 + 5xy^2 + y^3) -we added our answer from the internet so we hope its right

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The right rectangular prism is made up of 48 cubes. Each cube has an edge length of inch. What is the volume of this prism?

Gnesinka [82]

Given:

The right rectangular prism is made up of 48 cubes.
Each cube has an edge length of 1/4 inch.

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To Find:

What is the volume of this prism?

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Solution:

$~$

Using formula: 

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$\sf \pmb {Volume \: of \: cube = {(side)}^{3} }$

$~$

Substituting values in the formula:

$~$

$\sf \longrightarrow \dfrac{1}{4} \times \dfrac{1}{4} \times \dfrac{1}{4}$

$\sf \longrightarrow \dfrac{1}{64} \: {inch}^{3}$

$~$

Now,

Volume of 48 such cubes = Volume of 1 cube × 48 cubes

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$\sf \longrightarrow \dfrac{1}{64} \times 48$

$\sf \longrightarrow \dfrac{48}{64}$

$\sf \longrightarrow \dfrac{3}{4} \: {inch}^{3}$

$~$

Hence,

Volume of prism is 3/4 inch^3

7 0

3 years ago

The total surface area of a cube is 294cm² work out the volume of the cube

olga nikolaevna [1]

Answer: The correct answer would be V=343cm³

5 0

3 years ago

Read 2 more answers

What is -6 and -4? find the distance between each pair of integers on a number line.

Brilliant_brown [7]

The answer will be 2

8 0

3 years ago

Greatest to least - 1/2, 3/5, 3/7

Natalka [10]

3/7, 3/5, 1/2 is the answer it starts from the lowest to the lagest

4 0

3 years ago

Can I get some help, it is due in 15 minutes and I need help. Thanks, any help appreciated

koban [17]

Well, I'm way past the 15 min mark, but here's how to do the question.

With this, you will need to use the distance formula, $\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$ , on XY, YZ, and ZX.

XY: $\sqrt{(3-1)^2+(1-6)^2}$

Firstly, solve inside the parentheses: $\sqrt{(2)^2+(-5)^2}$

Next, solve the exponents: $\sqrt{4+25}$

Next, solve the addition, and XY's distance will be √29

(The process is the same with the other 2 sides, so I'll go through them real quickly)

YZ:

$\sqrt{(6-3)^2+(3-1)^2}\\ \sqrt{(3)^2+(2)^2}\\ \sqrt{9+4}\\ \sqrt{13}$

ZX:

$\sqrt{(1-6)^2+(6-3)^2}\\ \sqrt{(-5)^2+(3)^2}\\ \sqrt{25+9}\\ \sqrt{34}$

Now that we got the 3 sides, we can add them up: $\sqrt{29}+\sqrt{13} +\sqrt{34} =14.8$

In short, your answer is 14.8, or the second option.

8 0

3 years ago