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^380 cm^3120 cm^3240 cm^3Which 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^212 in^224 in^236 in^2Which 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

Question
Answer:
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
solved
general 11 months ago 9198