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4 years ago

CAN SOMEONE PLEASE HELP ME ANSWER THESE TWO PRE-CALCULUS PROBLEMS?

Mathematics

1 answer:

Andru [333]4 years ago

5 0

Answer:

OOF, that looks rough, I'm not sure.

Step-by-step explanation:

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Find the volume of the cubes or rectangular prisms in cubic centimeters.

DanielleElmas [232]

a) Volume of Rectangular prism is $\frac{36}{125}\,\,cm^3$

b) Volume of cube is $\frac{8}{125}\,\,cm^3$

c) Volume of cube is $\frac{1}{125}\,\,cm^3$

d) Volume of Rectangular prism is $\frac{6}{125}\,\,cm^3$

Step-by-step explanation:

Part a)

Volume of rectangular prism with

length= $\frac{3}{5}\,\,cm$

width= $\frac{4}{5}\,\,cm$

height = $\frac{3}{5}\,\,cm$

The formula used to find Volume of rectangular prism is:

$Volume\,\,of\,\,rectangular\,\,prism=length*width*height$

Putting values:

$Volume\,\,of\,\,rectangular\,\,prism=\frac{3}{5} *\frac{4}{5} *\frac{3}{5}\\Volume\,\,of\,\,rectangular\,\,prism=\frac{36}{125}\,\,cm^3$

So, Volume of Rectangular prism is $\frac{36}{125}\,\,cm^3$

Part b)

Volume of cube with side length of $\frac{2}{5}\,\,cm$

The formula used to find Volume of cube is:

$Volume\,\,of\,\,cube=length^3$

Putting value of length and finding volume:

$Volume\,\,of\,\,cube=length^3\\Volume\,\,of\,\,cube=(\frac{2}{5})^3\\ Volume\,\,of\,\,cube=\frac{8}{125}\,\,cm^3$

So, Volume of cube is $\frac{8}{125}\,\,cm^3$

Part c)

Volume of cube with side length of $\frac{1}{5}\,\,cm$

The formula used to find Volume of cube is:

$Volume\,\,of\,\,cube=length^3$

Putting value of length and finding volume:

$Volume\,\,of\,\,cube=length^3\\Volume\,\,of\,\,cube=(\frac{1}{5})^3\\ Volume\,\,of\,\,cube=\frac{1}{125}\,\,cm^3$

So, Volume of cube is $\frac{1}{125}\,\,cm^3$

Part d)

Volume of rectangular prism with

length= $\frac{1}{5}\,\,cm$

width= $\frac{2}{5}\,\,cm$

height = $\frac{3}{5}\,\,cm$

The formula used to find Volume of rectangular prism is:

$Volume\,\,of\,\,rectangular\,\,prism=length*width*height$

Putting values:

$Volume\,\,of\,\,rectangular\,\,prism=\frac{1}{5} *\frac{2}{5} *\frac{3}{5}\\Volume\,\,of\,\,rectangular\,\,prism=\frac{6}{125}\,\,cm^3$

So, Volume of Rectangular prism is $\frac{6}{125}\,\,cm^3$

Keywords: Volume

Learn more about Volume at:

#learnwithBrainly

6 0

3 years ago

One factor of the function f(x) = x3 − 7x2 + 14x − 8 is (x − 4). Describe how to find the x-intercepts and the y-intercept of th

White raven [17]

Answer:

Step-by-step explanation:

x-4=0

x=4

i solve by synthetic division.

4| 1 -7 14 -8

| 4 -12 8

___________

| 1 -3 2 | 0

$x^3-7x^2+14x-8=(x-4)(x2-3x+2)\\=(x-4)[x^2-x-2x+2]\\=(x-4)[x(x-1)-2(x-1)]\\=(x-4)(x-1)(x-2)$

x-intercepts are (4,0),(1,0),(2,0)

put x=0

y=-8

y -intercept is (0,-8)

6 0

3 years ago

A student received a coupon for %18 off the total purchase price at a clothing store. Let y be the original price of the purcha

kiruha [24]

Answer:

Final cost of item = initial price(1 – rate)

Step-by-step explanation:

y(1 – .18) = .82y

7 0

3 years ago

Name the lengths of the sides of three rectangles with perimeters of 12 units. Use only whole numbers.

DanielleElmas [232]

Answer:

4x2,3x3,1x6,

Step-by-step explanation:

8 0

4 years ago

There is a sales tax of

Damm [24]

The answer is $4 because you need to divide 63 divided by 5 = 12.6 and 50.40 divided by 12.6= $4

3 0

3 years ago