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
Cerrena [4.2K]
3 years ago
14

Pleasr help me ASAP! Thank you^-^ If w = 10 units, x = 5 units, and y = 6 units, what is the surface area of the figure? Round y

our answer to the nearest tenth.
Please look at picture


A: 656.2 units²

B: 400 units²

C:256.2 units²

D:456.2 units²

Mathematics
1 answer:
Sladkaya [172]3 years ago
7 0

Answer:

D:456.2 units²

Step-by-step explanation:

<u>Step 1: Area of all 4 sides of cuboid</u>

<em>Area of rectangle = 4 x length x breadth</em>

<em>Area of rectangle = 4 x 10 x 5</em>

Area of rectangle = 200

<u>Step 2: Calculate bottom of cuboid</u>

<em>Area = length x breadth </em>

<em>Area = 10 x 10</em>

Area = 100

<u>Step 3: Calculate slant height of pyramid</u>

<em>c² = a² + b²</em>

<em>c² is hypotenuse</em>

<em>a² is the base which is half of w (10/2 = 5)</em>

<em>b² is y which is 6</em>

<em>c² = a² + b²</em>

<em>c² = 5² + 6²</em>

<em>c = √61</em>

<u>Step 4: Calculate area of one face of the pyramid</u>

<em>Area of triangle = 1/2 x base x height</em>

<em>Area of triangle = 1/2 x 10 x √61</em>

<em>Area of triangle = 5√61</em>

<u>Step 5: Calculate areas of all 4 faces of the pyramid </u>

4 x 5√61 = 20√61

<u>Step 6: Calculate the total surface area</u>

Total surface area = 200 + 100 + 20√61

Total surface area = 456.2

The surface area of the figure is 456.2 units²

Option D is correct.

!!

You might be interested in
PLEASE PLEASE PLEASE HELP ILL GIVE BRAINEST PLEAESE​
AveGali [126]

Answer:

The last one

Step-by-step explanation:

There are two of the same x-values, meaning it is not a function.

Hopefully this helps!

Brainliest please?

5 0
3 years ago
Read 2 more answers
On the bus ride home there
DanielleElmas [232]

Answer: I think it is 40%

4 0
3 years ago
Read 2 more answers
Steve is turning half his backyard into a chicken fan. His backyard is a 24 m x 45 m rectangle. He wants to put a chicken wire f
Phoenix [80]

Answer:

51 meters

Step-by-step explanation:

Steve is turning half his backyard into a chicken fan. His backyard is a 24 m x 45 m rectangle. He wants to put a chicken wire fence that stretches diagonally from one corner to the opposite corner. How many meters of fencing will Steve need?

We are to find the meters of fencing for the diagonal.

We solve the question using Pythagoras Theorem

= c² = a² + b²

Where

c = Diagonal

a = Width

b =Length

Diagonal² = Width² + Length ²

Hence:

Diagonal ² = 45² + 24²

Diagonal = √45² + 24²

Diagonal = √(2601)

Diagonal = 51 m

Therefore, the meters of fencing for the diagonal that Steve would be needing = 51 meters

7 0
3 years ago
The table shows the steps for solving the given inequality for x.
slavikrds [6]

Given inequality -3(4-6x) < x+5.

We have -3 in front of Parenthesis.

That represents multiplication of -3 and Parenthesis.

The multiplication of Parenthesis could be done by applying distributive property.

On distributing, we get

-12+18x < x+5

x is added on right side of the inequality. The reverse operation of addition is subtraction. So we need to subtract x from both sides, we get

-12+18x-x < x-x+5

-12+17x < 5

Now, we need to get rid -12 from left side.

So, we need to apply addition property of equality, we need to add 12 on both sides, we get

-12+12+18x < x+5+12

17x < 17

We need to get rid 17 from left side. So we need to apply division property of equality.

On dividing both sides by 17, we get

17x/17 < 17/17

x<1.

8 0
3 years ago
Keisha pumped 6 gallons of water into her pool each minute for 48 minutes what was the total change in the amount of water in th
Eduardwww [97]

The total change in the amount of water in the pool is 288 gallons.

<h3>What is Volume?</h3>

Volume is a scalar quantity expressing the amount of three-dimensional space enclosed by a closed surface.

Here, Rate of water pumped into her pool = 6 gallons / minute.

          Total Duration = 48 minutes

Total amount of water = Rate X Time

                                     = 6 X 48

                                     = 288 gallons

Thus, the total change in the amount of water in the pool is 288 gallons.

Learn more about Volume from:

brainly.com/question/1578538

#SPJ1

3 0
2 years ago
Other questions:
  • Belmont records sends a disk jockey 11 new cd releases for possible use. in how many ways can the disk jockey select no more tha
    8·1 answer
  • What is the slope of this line <br> A. -3/4<br> B. 4<br> C. -3<br> D. 3/4
    13·1 answer
  • Hi guys, I really need your help for this simple maths question.
    11·1 answer
  • Examples of rational numbers
    9·1 answer
  • The number 21 is a(n) —<br> number because
    9·1 answer
  • Write an equation of the direct variation that includes the point (6,-2)
    12·1 answer
  • Find the distance between (-8, -1) and (0, 5). Give your answer in simplest radical form.
    12·1 answer
  • Nathan has R528 available on his credit card account. he wants to buy a music system for R2184. The bank does not allow credit t
    6·1 answer
  • Karen deposits $450 into a savings account which earns simple interest at a rate of 5% per year. She wants to keep the
    13·1 answer
  • Squaring the product of z and 5 gives the same
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!