Volume of Pyramids

Question 1

Six identical square pyramids can fill the same volume as a cube with the same base. If the height of the cube is h units, what is true about the height of each pyramid?

Revolt · Accepted Answer

The height of each pyramid is h units.

Question 2

Question 2

Revolt · Accepted Answer

100

Question 3

(b)(b/2)✔ (b)(b)(b)(b)(b)

Revolt · Accepted Answer

✔ (b)(b); The area of the base of the cube, B, is square units.: (b)(b); The volume of the cube is cubic units.: (b)(b)(b); The height of each pyramid, h, is . Therefore,: b/2; There are square pyramids with the same base and height that exactly fill the given cube.: 6; Therefore, the volume of one pyramid is or Bh.: (1/6)(b)(b)(2h)

Question 4

✔ (b)(b)(b)(b)(b)(b/2)(b)(b)(b/6)

Revolt · Accepted Answer

✔ (b)(b)(b)

Question 5

The height of each pyramid, h, is [___]. Therefore,

Revolt · Accepted Answer

b/2

Question 6

24✔ 6

Revolt · Accepted Answer

✔ 6

Question 7

Therefore, the volume of one pyramid is [___] or Bh.

Revolt · Accepted Answer

(1/6)(b)(b)(2h)

Question 8

The Pyramid of Giza is one of the largest pyramid structures still standing in Egypt. It is a right pyramid with a square base, a base length of 230 m, and height of 150 m.

Revolt · Accepted Answer

✔ 52,900; The area of the base is m2.: 52,900; The volume is m3.: 2,645,000

Question 9

7,93552,900✔ 2,645,0007,935,000

Revolt · Accepted Answer

✔ 2,645,000

Question 10

Kabir wants to know the volume of a solid right pyramid with a square base. He uses a ruler to measure the length of the base as 8 inches. He then measures the slant height to be 5 inches.

Revolt · Accepted Answer

✔ 5; The hypotenuse of the right triangle used to determine the height is inches.: 5; The leg of the right triangle that lies on the same plane as the base is inches.: 4; The height of the pyramid is inches.: 3; The volume of the solid pyramid is cubic inches.: 64

Volume of Pyramids Answers

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