deep. Calculate its volume (in cm in terms of m). [JAMB] 500 A right pyramid on a base 10 m square is 15 m high. a Find the volu

Question

NemiM [27]

3 years ago

15

deep. Calculate its volume (in cm in terms of m). [JAMB] 500 A right pyramid on a base 10 m square is 15 m high. a Find the volu

me of the pyramid. b If the top 6 m of the pyramid are removed, what is the volume of the remaining frustum?

Mathematics

2 answers:

Reptile [31] · Answer 1 · 2022-05-07T00:35:00+03:00

Reptile [31]3 years ago

7 0

Answer:

below

Step-by-step explanation:

that is the procedure above

s344n2d4d5 [400] · Answer 2 · 2022-05-07T03:04:32+03:00

9514 1404 393

Answer:

a. 500 m³

b. 468 m³

Step-by-step explanation:

Given:

a square base pyramid with side 10 m and height 15 m

Find:

a) the volume of the pyramid

b) the volume of the remaining frustum with the top 6 m removed

Solution:

a) The volume of the pyramid is given by the formula ...

V = 1/3Bh

where B = s², the area of the square base, and h is the height

V = (1/3)(10 m)²(15 m) = 500 m³

The volume of the pyramid is 500 m³.

__

b) The top 6 meters constitute a similar pyramid with a scale factor of 6/15 = 2/5. The volume of that portion is then the total volume multiplied by the cube of the scale factor:

volume of top 6 feet = (500 m³)(2/5)³ = 32 m³

Then the volume of the remaining frustum is ...

500 m³ -32 m³ = 468 m³

The volume of the remaining frustum is 468 m³.