All categories

3 years ago

Find the surface area and volume of each figure. Round each answer to the nearest hundredth.

Mathematics

1 answer:

Llana [10]3 years ago

6 0

Answer: Surface area is equal to 200 $cm^{2}$

Volume is equal to 333.33 $cm^{3}$

Step-by-step explanation:

First, let's do surface area.

The surface area of a pyramid is equal to 1/2(perimeter of base)(lateral height) + area of the base

The perimeter of the base is 10(4) = 40; as the base is a square with a side length of 10.

The lateral height is given as 5 cm.

The area of the base is 10(10) = 100.

We can plug those numbers into the equation to get 1/2(40)(5) + 100, which comes out to be 200 $cm^{2}$ .

Now for volume.

The volume of a pyramid is equal to 1/3(area of the base)(height).

We already have the area of the base, which is 100.

The height is given as 10 cm.

Plugging those numbers into the equation, we get 1/3(100)(10), which is 1000/3 or about 333.33 $cm^{3}$ .

Hope this helps!

You might be interested in

Find the value of X(2x + 4) (2x-9)

kotykmax [81]

2x +4)° 2x-9)°= 4x 2 +8x−9=3

Pull out like factors :

2x + 4 = 2 • (x + 2) (4 • (x + 2) • x) - 9

4x • (x + 2) - 9

Factoring 4x2+8x-9

The first term is, 4x2 its coefficient is 4 .

The middle term is, +8x its coefficient is 8 .

The last term, "the constant", is -9

Step-1 : Multiply the coefficient of the first term by the constant 4 • -9 = -36

Step-2 : Find two factors of -36 whose sum equals the coefficient of the middle term, which is 8 .

-36 + 1 = -35

-18 + 2 = -16

-12 + 3 = -9

-9 + 4 = -5

-6 + 6 = 0

-4 + 9 = 5

-3 + 12 = 9

-2 + 18 = 16

-1 + 36 = 35

x=3

6 0

3 years ago

Read 2 more answers

Which is a correct two-column proof? Given: r || s Prove: ∠b and ∠h are supplementary. Picture 1, Picture 2, Picture 3 or none o

aliina [53]

Answer: The second proof table is the the proper proof table.

We always start out with what we are given, which in this case is r || s saying that r is parallel to s. Also, we always end up with what we want to prove which is angles b and h are supplementary. So this is the last line of the proof.

So far, this eliminates the first proof table because in this table, the last line says "angle c and angle h are supplementary" which is not what we want to end up with. We want the last line to say "angle b and angle h are supplementary".

We can also eliminate the third proof table because of the statement "angle d and angle h are supplementary". They are only supplementary if they are both right angles. Also, the reasoning of "alternate interior angles" is false as they are corresponding angles.

The only thing left is the second proof table which is correctly argued from start to finish.

1. r || s ........................ given

2. angle b = angle c ................ vertical angles

3. c and e are supplementary angles ....... same side interior

4. angle e = angle h ................. vertical angles

5. b and h are supplementary ...... substitution

Note: in line 5, we start with line 3's statement. Then we replace 'c' with 'b', at the same we replace 'e' with 'h'.

8 0

3 years ago

Read 2 more answers

Bart budgeted $285.75 each month for utilities. His utility bills this month were $130.50 for electric, and $240 for gas. How mu

iren2701 [21]

Answer:

$84.75 over budget

Step-by-step explanation:

Barts' budget is 285.75

Bills: 240 + 130.50 = $370.50

(subract by his budget)

370.5 - 285.75 = $84.74

4 0

3 years ago

Identify the postulates that prove the triangles are congruent.

Nitella [24]

SAS is the right answer!

6 0

3 years ago

Arvud 0, 1, 2, 3, ....

Leviafan [203]

I’m sorry??? What????

8 0

3 years ago