Question

The area of the base of the cube, B, is ____ square units. The volume of the cube is ___ cubic units. The height of each pyramid, h, is _____. Therefore, b = 2h. There are _____ square pyramids with the same base and height that exactly fill the given cube. Therefore, the volume of one pyramid is ___ or 1/3 Bh.

Answer 1

Answer:

1-(b)(b)

2- (b)(b)(b)

3- b/2

4- 6

5- (1/6)(b)(b)(2h)

Step-by-step explanation:

The first is length * width which is b*b.

The second is b*b*b because that is how you find area.

The third is b/2 because each pyramid height is b/2 of h.

The fourth is 6 because that is how many pyramids can be made.

The fifth is 1/6*b*b*2h because there are six pyramids, two b's, and the hight is 2h.

Answer 2

Following are the solution to the given points:

• The first is $b^2$, which is $length \times width$.
• The second is $b^3$ that is how that region was found.
• The third is $\frac{b}{2}$, so because the height of each pyramid equals $\frac{b}{2} \times h$.
• The fourth number is 6, which would be the number of pyramids that can be built.
• The fifth equation is $\bold{ \frac{1}{6} \times b \times b\times 2h}$  since there are 6 pyramids, 2 b's, as well as the height is 2h.

Therefore, the final answer is "$\bold{b^2, b^3, \frac{b}{2}, 6 , \frac{1}{6} b^2 2h}$".  

Learn more:

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