First, calculate for the volume of the cube before each edges are cut.
V = e³
where e is the length of each sides. Substituting the known value,
V = (4/5 cm)³ = 0.512 cm³

Then, calculate for the volume of each of the small cubes cut out from the corners.
V = (1/5 cm)³ = 0.008 cm³
Since there are 8 of these small cube, we multiply the volume by 8.
8V = 8(0.008 cm³) = 0.064 cm³

Then, subtracting the volumes will give us an answer of 0.448 cm³

5 0

3 years ago

Read 2 more answers

Does anyone have a clue lol. I know it has something to do with proportion but to me it makes 0 sense.

katrin [286]

57508.5 and 120, it gives you ounces for first one and then asks for pounds and it gives you the number of ounces per pound on the side so you do 920136/16 and for the second you do the same thing but with the number of feet per yard and you would do 360/3

8 0

2 years ago

A scientist changes the temperature of a solution at a rate of

Elan Coil [88]

Answer:

11 minutes

Step-by-step explanation:

I may be missing something. This is too simple.

88 degree change at 8 degrees per minute = 11 minutes.

5 0

3 years ago

(answer questions about the picture above)

jeka57 [31]

Answer:

Part a) The dilation is a contraction

Part b) The scale factor is 0.75

Part c) $AR=1.1\ cm$

Part d) $TN=4.8\ cm$

Step-by-step explanation:

Part a) Assume ∆TRI was dilated to become the image ∆TAN. Is the dilation an expansion or a contraction?

We have that

The pre-image is the triangle TRI (original figure)

The image is the triangle TAN (dilated figure)

we know that

If the image is smaller than the pre-image then the dilation is a contraction or reduction

If the image is greater than the pre-image then the dilation is a expansion or enlargement

The triangle TAN is smaller than triangle TRI

the image is smaller than the pre-image

therefore

The dilation is a contraction

Part b) What is the scale factor?

we know that

A dilation is a non-rigid transformation that produces similar figures

If two figures are similar, then the ratio of its corresponding sides is proportional and this ratio is called the scale factor

In this problem

triangle TAN ~ triangle TRI

Let

z ----> the scale factor

$z=\frac{AN}{RI}$

AN and RI are corresponding sides

substitute the given values

$z=\frac{6}{8}=0.75$

Part c) Calculate AR. Show your work

Remember that the ratio of its corresponding sides is proportional and is equal to the scale factor

$\frac{TA}{TR}=z$

substitute the given values

$\frac{3.3}{TR}=0.75$

Solve for TR

$TR=3.3/0.75\\TR=4.4\ cm$

Find the length of AR

we know that

$TR=TA+AR$ ----> by segment addition postulate

substitute the given values

$4.4=3.3+AR\\AR=4.4-3.3=1.1\ cm$

Part d) Use the Side-Splitting Theorem to find TN.

we know that

The side splitter theorem states that if a line is parallel to a side of a triangle and the line intersects the other two sides, then this line divides those two sides proportionally

Applying the Side-Splitting Theorem

$\frac{TN}{NI}=\frac{TA}{AR}$

substitute the given values

$\frac{TN}{1.6}=\frac{3.3}{1.1}$

solve for TN

$TN=1.6(3.3)/1.1\\TN=4.8\ cm$

3 0

4 years ago