All categories

3 years ago

Changing Dimensions of 3-D Figures

1 answer:

4 0

The prisms are congruent if the lengths of corresponding edges are in a 1:1 ratio, the volumes and the base areas are equal and the prisms have same height

Step-by-step explanation:

For the two prisms to be congruent the following properties should hold TRUE

The lengths of corresponding edges are in a 1:1 ratio.

The volumes are equal.

The base areas are equal.

The prisms have the same height.

You might be interested in

The circle graph shows how Tremaine divided his time on the computer last week Tremaine's Computer Time Games 25% Homework 20% R

wel

Step-by-step explanation:

25%×24 =6 jahdyheuxlfoodnxhydushgdys

6 0

2 years ago

The diagram shows an empty cylindrical container. Ana puts a solid cube of side length 8 cm into the container. She then pours 1

marshall27 [118]

Answer:

<h3><u>Cylinder</u></h3>

$\textsf{Volume of a cylinder}=\sf \pi r^2 h \quad\textsf{(where r is the radius and h is the height)}$

Given:

r = 6 cm

h = 18 cm

$\begin{aligned}\implies \sf V &= \sf \pi (6)^2(18)\\& = \sf 648 \pi \: cm^3\end{aligned}$

$\textsf{Volume of a cube}=\sf x^3\quad\textsf{(where x is the side length)}$

Given:

x = 8 cm

$\begin{aligned}\implies \sf V &= 8^3\\& = \sf 512 \: cm^3\end{aligned}$

<h3><u>Volume available to be filled with water</u></h3>

Volume of cylinder - volume of cube

= 684π - 512

= 1532.75204 cm³

1 litre = 1000 cm³

⇒ 1.5 litres = 1000 × 1.5 = 1500 cm³

As 1500 < 1532.75204, the volume of water poured into the container is smaller than the empty space available in the cylinder. Therefore, the water will <u>not</u> come over the top of the container.

4 0

2 years ago

What is the value of x in the figure? (Figure included.)

kotykmax [81]

See those lines that are pependicular
meanins that those lines are same legnth
in triangle, if 2 sides are same measure legnth then the angles oposite those sides are same measure

therefor top right and top left angle is 42

remember that vertical angles are congruent

remmeber all angles ad to 180 in a triangle

so therefor look at top triangle
top right angle is 42
top left is 42
bottom must be x
total is 180 so
42+42+x=180
84+x=180
minus 84 fromboth sides
x=96

answer is 96 degrees

7 0

3 years ago

What is the value of 7 in 506,087

statuscvo [17]

The 7 in 506,087 is in the ones place.

7 0

2 years ago

Read 2 more answers

Find the estimate of square root of 22 to teh nearest tenth using a dudne number line

Yuliya22 [10]

Answer:

Step-by-step explanation: