Find the measure of the angle indicated

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

2 years ago

Which equation represents a line through (-4, 3) that is perpendicular to y=x+7?

Oksana_A [137]

Answer:

B. y = -x - 1

Step-by-step explanation:

Perpendicular lines have opposite reciprocal slopes, so the slope of the new line will be -1.

Plug the slope and the given point into y = mx + b to find b:

y = mx + b

3 = -1(-4) + b

3 = 4 + b

-1 = b

Then, plug this and the slope into y = mx + b

y = -x - 1

So, the correct answer is B, y = -x - 1

7 0

3 years ago

Instructions: Find the missing side. Round your answer to the nearest

ch4aika [34]

Answer:

Step-by-step explanation:

Tan(51) = opposite / adjacent

The adjacent side makes up the reference angle (51o)

The opposite side is not part of the reference angle

adjacent side = x

opposite side = 16

Tan(51) = 16 / x Multiply both sides by x

x * Tan(51) = 16 Divide by tan 51

x = 16 / tan(51)

tan(51) = 1.2349

x = 16 / 1.2349

x = 12.96

7 0

2 years ago

Do these two expressions represent equivalent expressions? Explain why or why not. 36 + 20 4(9 + 5)

Keith_Richards [23]

Answer:

they are equivalent

Step-by-step explanation:

because 4 times 9 is 36 and 4 times 5 is 20 so it is equal to 36+20

4 0

2 years ago

Read 2 more answers

A local high school held a two-day fundraiser selling lunches. The equations shown represent the amount of money the school coll

scoundrel [369]

The given equations are

12x + 4y = 152 ...........1

32x + 12y = 420 .....2

Multiplying equation 1 by 3 to make coefficient of y same we have:

36x+12y= 456

32x+12y=420

Subtracting the two equations we have:

4x=36.

Dividing by 4 both sides

x= 9.

Substituting x value in equation 1

12(9) + 4y = 152

108+4y=152

Subtracting 108 both sides: 4y=44.

Dividing both sides by 4.

y=11.

cost of the vegetarian lunch is $11.

In the equations, x represents the cost of a chicken lunch and y represents the cost of a vegetarian lunch.

5 0

2 years ago