1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
sertanlavr [38]
3 years ago
7

The shape below is a composite figure made up of two rectangular prisms, what is the volume of the figure?

Mathematics
2 answers:
Shkiper50 [21]3 years ago
6 0

Answer:

11098{cm}^{3}

Step-by-step explanation:

The formula to find the volume of a rectangular prism is

v = length \times \: width  \times height

Since there are 2 shapes we are going to find the volume of each of them, then add them to find the volume of the entire shape.

The length of the rectangle that is standing is 62 cm, its width is 3 cm and its height is 13 cm. Therefore the volume is:

v = l \times w \times h \\ v = 62 \times 3 \times 13 = 2418 {cm}^{3}

On the other hand, the length of the rectangle that is lying down is 62 cm, its width is 20 cm <em>(</em><em>2</em><em>3</em><em>-3</em><em>=</em><em>20</em><em>)</em>, and the height is 7 cm. Therefore the volume is:

v = l \times w \times h \\ v = 62 \times 20 \times 7 = 8680 {cm}^{3}

The volume of the entire shape would then be:

2418 {cm}^{3}  + 8680 {cm}^{3}  = 11098 {cm}^{3}

Rudik [331]3 years ago
3 0

Answer:

80

Step-by-step explanation:

add 3cm to 13cm x 7 cm then add it all up to 80

You might be interested in
Billy wants to buy these tickets for a show: 4 adult tickets at £15 each and 2 child tickets at £10 each. A 10% booking fee is a
IrinaVladis [17]

Answer:

The total charge for these tickets when paying by credit card is £ 90.64.

Step-by-step explanation:

Since Billy wants to buy 4 adult tickets at £ 15 each and 2 child tickets at £ 10 each for a show, and a 10% booking fee is added to the ticket price, and 3% is then added for paying by credit card, for work out the total charge for these tickets when paying by credit card the following calculation must be performed:

((4 x 15 + 2 x 10) x 1.10) x 1.03 = X

((60 + 20) x 1.10) x 1.03 = X

(80 x 1.10) x 1.03 = X

88 x 1.03 = X

90.64 = X

Thus, the total charge for these tickets when paying by credit card is £ 90.64.

3 0
3 years ago
Plzzzz need answers​
earnstyle [38]

Answer:

1. (x,y)→(y,-x)

2. (x,y)→(-y,x)

3. (x,y)→(-x,-y)

Step-by-step explanation:

1. Rotation 90° clockwise (or 270° counterclockwise) about the origin changes x into y and y into -x, so it has the rule

(x,y)→(y,-x)

2.  Rotation 90° counterclockwise (or 270° clockwise) about the origin changes x into -y and y into x, so it has the rule

(x,y)→(-y,x)

3.  Rotation 180° clockwise  about the origin changes x into y and y into -x, so it has the rule

(x,y)→(-x,-y)

Here you can apply rotation by 90° clockwise twice, so

(x,y)→(-y,x)→(-x,-y)

3 0
3 years ago
Which ordered pairs are on the graph of exponential function?
GaryK [48]

Answer:

its (1,3)

Step-by-step explanation:

this is a bit of bad explaining but if you draw a graph you can find it, the verticle intercept is 0,2 if you wanted to know that. and also since the answers are there you could try them out so like 3=2+1, that works, and kinda like that

8 0
3 years ago
What is the length of the missing side? What is the area of the figure?<br>Show ALL work.​
guajiro [1.7K]

Answer:

Missing side=25 units.

Area of the figure= 470 sq units.

Step-by-step explanation:

The figure is made up of a rectangle and a triangle.

To get the base of the triangle, we find the difference between the two parallel sides, that is, 16ft and 31 ft.

31ft-16ft=15ft  

The height of the triangle is 20 since it is parallel and equal to the length of the rectangle.

We therefore use pythagoras theorem to find ?

a²+b²=c²

15²+20²=c²

625=c²

c=25

ii. The figure is a trapezium therefore we use the following formula to find the area.

A= 1/2(a+b)h, where a and b are the two parallel sides. and h the distance between them.

=(1/2)(31+16)×20

=470 sq units

8 0
4 years ago
The city commission wants to construct a new street that connects Main Street and North Boulevard as shown in the diagram below.
Rainbow [258]
Do you have a picture of the diagram that might help more
7 0
4 years ago
Other questions:
  • Kelly went to a hockey game with her family. They bought 4 bags of cotton candy and 2 souvenir cups and spent $36. Marissa's fam
    12·1 answer
  • The longest side of an acute triangle measures 30 inches. The two remaining sides are congruent, but their length is unknown.
    13·1 answer
  • What do you get when you cross a weeping willow with a UFO
    11·2 answers
  • A table is on sale for $403, which is 38% less than the regular price. what is the regular price
    12·1 answer
  • Alonzo needs to memorize words on a vocabulary list for Spanish class. He has
    13·1 answer
  • GEOMETRIC PROBABILITY URGENT?
    8·1 answer
  • Divide. Express your answer in simplest form. 8/9 divided by 2/3. Show work.
    6·1 answer
  • Dina can run 4 miles in 30 minutes. If she maintains this pace, how many miles can she run in 90 minutes?
    5·2 answers
  • K is between J and M. L is
    8·1 answer
  • Consider the graph of the of the quadratic function g(x). See below
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!