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
gregori [183]
3 years ago
8

An art exhibit is made by stacking three identical prisms on top of each other end-to-end so their smallest faces overlap. One o

f the prisms is shown here.
Find the surface area of the total exhibit.​

Mathematics
1 answer:
cestrela7 [59]3 years ago
4 0

The surface area of the exhibit is 1,638 cubic inches.

Step-by-step explanation:

Step 1:

If three prisms are out on top of each other we get a shape as follows;

The length of the base = 9 inches,

The width of the base =6 inches, and

The height of the exhibit = 3(17) = 51 inches.

To find the surface area of the total exhibit we consider there to be only one shape which the above dimension.

Step 2:

There are 6 faces to the exhibit.

The surface area of a rectangular prism is given by;

A=2(w l+h l+h w)

By substituting the values, we get

A=2((6)(9)+(51) (9)+(51) (6)) = 2 (819) = 1,638.

The surface area of the exhibit is 1,638 cubic inches.

You might be interested in
Please explain how you got your answer!!! The dot plots below show the ages of students belonging to two groups of salsa classes
Rudik [331]

Answer:

Group b most likely has a lower mean age of salsa students

Step-by-step explanation:

Arithmetic Mean of the data is the average of a set of numerical values, calculated by adding them together and dividing by the number of terms in the set.

Here we are given with two groups that are Group A and Group B

both having total number of students = 20

Here the mean age of the data is addition of the all ages of different students divided by total number of students.

For group a

total age of the group = 3 × 5 + 4 × 10 + 6 × 17 + 4 × 24 + 3 × 29

= 15 + 40 + 102 + 96 + 87

=340

The mean age of salsa students= 340 ÷ 20 = 17

For group b

total age of the group = 6 × 7 + 3 × 10 + 4 × 14 + 5 × 16 + 2 × 21

= 42 + 30 + 56 + 80 + 42

=250

The mean age of salsa students= 250 ÷ 20 = 12.5

So the group b most likely has a lower mean age of salsa students

Learn more about Arithmetic Mean here - brainly.com/question/24688366

#SPJ10

7 0
2 years ago
The volume of a cone is 565.2 cubic inches. The height of the cone is 15 inches. What is the radius of the cone, rounded to the
PSYCHO15rus [73]

Answer:

Radius, r = 6 inches

Step-by-step explanation:

We have,

Volume of a cone is 565.2 cubic inches

Height of the cone is 15 inches

It is required to find the radius of the cone. Volume of a cone is given by :

V=\dfrac{1}{3}\pi r^2 h

r is radius of cone

r=\sqrt{\dfrac{3V}{\pi h}} \\\\r=\sqrt{\dfrac{3\times 565.2}{3.14\times 15}} \\\\r=6\ \text{inch}

So, the radius of the cone is 6 inches. The correct option is (b).

6 0
4 years ago
CAN SOMEONE PLEASE ANSWER THIS THANK YOU!
LiRa [457]

Answer: e

Step-by-step explanation:

It’s the largest fraction

6 0
3 years ago
Read 2 more answers
The factor tree below provides the factors of 18.
Romashka-Z-Leto [24]
The prime factors of 18 are 2 times 3 times 3 or you can write it as 2 times 3 squared, this is because and 2 and 3 are both prime numbers
5 0
4 years ago
Read 2 more answers
What is the volume of the following cylinder in cubic feet? 35.325 ft3 5,086.8 ft3 61,041.6 ft3 47.1 ft3
IgorC [24]
Include a picture of the cylinder
6 0
3 years ago
Read 2 more answers
Other questions:
  • An international data plan charges $10.00
    8·1 answer
  • How can graphing an inequality help to solve it
    11·1 answer
  • PLEASE HELP I WILL GIVE BRAINLIEST.
    11·1 answer
  • Give another name for line r
    9·2 answers
  • 5 hundreds + 4 tens= ____ tens
    10·1 answer
  • Plz answer this i will mark u brianiest
    12·1 answer
  • Find the slope of the line that passes through (10, 8) and (1, 4).
    9·2 answers
  • Pls give me the answer to this question like rn pls pls pls
    10·2 answers
  • Find the annual premium for the insurance policy described in the following problem.
    6·2 answers
  • To win a​ lottery, 7 numbers are drawn at random from a pool of 21 numbers. Numbers cannot repeat. If a person has one​ ticket,
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!