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
11111nata11111 [884]
3 years ago
7

Every picture except for one has a picture. It will say if it does not have a picture. I will give brainliest to the one who sho

w their work and is correct. This question has 50 points for 50 questions.
What is the volume of the pyramid?
10 cm^3
80 cm^3
120 cm^3
240 cm^3

Which shows how to determine the volume of the pyramid?

V=1/3(12)(8)(10)
V=1/2(12)(10)
V=1/2(12)(8)(10)
V=1/3(12)(10)

Which statements are true about a rectangular pyramid with a height of 9 centimeters and a base with the dimensions of 4 centimeters by 6 centimeters? Check all that apply. (This question does not have a picture!)

The area of the base of the pyramid, B, is 8 cm^2.
The area of the base of the pyramid, B, is 24 cm^2.
A rectangular prism with the dimensions of 9 cm by 4 cm by 6 cm will have 3 times volume of this pyramid.
A rectangular prism with the dimensions of 9 cm by 4 cm by 6 cm will have 1/3 of the volume of this pyramid.
The volume of this pyramid is 72 cm^3.
The volume of this pyramid is 216 cm^3.

If the volume of the pyramid shown is 108 in^3, what is the area of its base?

4 in^2
12 in^2
24 in^2
36 in^2

Which equation should be used to find the volume of the figure?

V= 1/3 (6)(4)(8)
V= 1/2 (6)(4)(8)
V= 1/3 (6)(4)(10)
V= 1/2 (6)(4)(10)

What is the volume of the pyramid in cubic inches?

______in^3

Mathematics
2 answers:
Nataliya [291]3 years ago
8 0
Formula for V of pyramid is V = 1/3 Bh
B = area of base
h = height

Q1.
8 x 6 = 48
48 = area of base
48 x 5 (height) = 240
240 x 1/3 = 80
80 cm^3

Q2.
8 x 12 would get the area of the base.

the formula says 1/3 Bh, so the base is multiplied by the height (10) and by 1/3.
So if you substitute in the values into the formula, it'll be:
V = 1/3 (12) (8) (10)

Q3.
4 x 6 = 24
base = 24 cm^2
height = 9
1/3 x 24 x 9 = 72
Volume = 72 cm^3

statement 1 is incorrect. The area of the base is actually 24 cm^2

statement 2 is correct.

statement 3 is correct. the volume of the rectangular prism (9 x 4 x 6) is 216cm^3, which is 3 times the volume of the pyramid (72 cm^3).

statement 4 is incorrect. This would require the volume of the pyramid to be 9 times of its own volume.

statement 5 is correct.

 statement 6 is incorrect. The volume of the pyramid is 72, not 216.

Q4.
use the balance method to get the answer.
108 / 1/3 = 108 x 3 = 324
324 / 9 (the height) = 36
the base has an area of 36 in^2

Q5.
6 x 4 gets the area of the base
8 is the height
substitute them into the formula:
V = 1/3 (6) (4) (8)

Q6.
8 x 6 = 48
48 = area of base
9 = height
substitute them into the formula:
V = 1/3 (48) (9)
1/3 x 48 x 9 = 144
Volume of this pyramid is 144 in^3
rodikova [14]3 years ago
6 0

Answer:

The answer is 9 cm

Step-by-step explanation:

I am assuming this is the pyramid that has base dimensions of 6 cm and 4 cm. And we are now looking for the height.

The formula for the volume of a pyramid is V= 1/3Bh

Our Base (B) is found by multiplying (6cm)(4cm) = 24 cm^2

Substitute the 24 cm^2 in for B and we now have

V=1/3 (24 cm^2)(h)


We were given a volume of 72 so we will now substitute that value in for V

72 = 1/3 (24 cm^2)(h)

Simplfiy:


72 = 8h

Divide both sides by 8 and we now have a solution of

h=9 cm


Thus our height is 9 cm

You might be interested in
What are the solutions to the following system?
bija089 [108]

The solutions are (\sqrt{2},-1) \text { and }(-\sqrt{2},-1).

Solution:

Given equation:

-2 x^{2}+y=-5

Add 2 x^{2} on both sides.

-2 x^{2}+y+2 x^{2}=-5+2 x^{2}

y=-5+2 x^{2} -------- (1)

y=-3 x^{2}+5 (given)  -------- (2)

Equate (1) and (2).

-5+2 x^{2}=-3 x^{2}+5

Add 3 x^{2} on both sides.

-5+2 x^{2}+3 x^{2}=-3 x^{2}+5 +3 x^{2}

-5+5x^{2}=5

Add 5 on both sides.

-5+5x^{2}+5=5+5

5x^{2}=10

Divide by 5 on both sides, we get

x^{2}=2

Taking square root on both sides, we get

x=\sqrt{2}, x=-\sqrt{2}

Substitute x=\sqrt{2} in (1).

y=-5+2(\sqrt{2})^2

y=-5+4

y=-1

Substitute x=-\sqrt{2} in (1).

y=-5+2(-\sqrt{2})^2

y=-5+4

y=-1

Therefore the solutions are (\sqrt{2},-1) \text { and }(-\sqrt{2},-1).

Option C is the correct answer.

6 0
3 years ago
If I did 2 tests a month for four months how many would I get done a month how many would I get done in four months.
AfilCa [17]

Answer: 2 per month

8 per four months

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Use distributive property to calculate the following.
sattari [20]

Answer:

Step-by-step explanation:

1. 2x + y

2. 48 +  60 = 108

3. 840 - 210 = 630

4 0
2 years ago
Derivative of y=cos²x-sin²x
Leona [35]
One thing to bear in mind with trigonometric expressions is that, the exponent location is next to the function name, instead of the whole expression, though it applies to the whole thing, namely cos²(x), is really [ cos(x) ]², and that matters for using the chain rule.

\bf y=cos^2(x)-sin^2(x)\implies y=[cos(x)]^2-[sin(x)]^2
\\\\\\
\cfrac{dy}{dx}=\stackrel{chain~rule}{2cos(x)\cdot -sin(x)}~~-~~\stackrel{chain~rule}{2sin(x)\cdot cos(x)}
\\\\\\
\cfrac{dy}{dx}=-2cos(x)sin(x)-2cos(x)sin(x)
\\\\\\
\cfrac{dy}{dx}=-4cos(x)sin(x)
8 0
3 years ago
What is the equation of a vertical line passing through (-5, -2)?
elena-s [515]

Answer:

x=-5

Step-by-step explanation:

if point the line is passing through is -5, -2 and the line is vertical than x would have to stay the same no matter where the y is because it's vertical.

8 0
3 years ago
Other questions:
  • To make purple paint, Mya mixed 2/5 cup of red paint with 5/8 cup of blue paint. She wants to make a larger batch of the purple
    11·1 answer
  • Choose the correct answer
    14·1 answer
  • Draw a conclusion is the statement below always sometimes or never true give at least two examples to support your reasoning the
    11·1 answer
  • Avery is going on vacation and she wants to spend 5/8 of her savings on the trip.Of that amount,she is going to spend 1/3 of tha
    14·1 answer
  • Mrs. Dodson is shopping for school supplies with her children. Vivian selected 2 one-inch binders and 1 two-inch binder, which c
    13·1 answer
  • A rock band is playing a concert at Music Hall 49, which has 2,500 seats. If 80% of the tickets were sold before the night of th
    14·1 answer
  • A bank located in a commercial district of a city has developed an improved process for serving customers during the noon to 1:0
    12·1 answer
  • GIVING BRAINLIEST TO THE FIRST RIGHT ANSWER!!!!
    12·1 answer
  • Without graphing or solving, determine the number of solutions of the system.
    11·1 answer
  • Helpppppp pleaseeeeee
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!