Question

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 show 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

Answer 1

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

Answer 2

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