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2 years ago

The base of a solid right pyramid is a square with an

Mathematics

1 answer:

zhuklara [117]2 years ago

6 0

Answer:

Volume = ⅓n²(n-1) or ⅓(n³ - n²)

Step-by-step explanation:

Given

Solid Shape: Right pyramid

Edge= n units

Height= n - 1 units

Required

Volume of the pyramid

The volume of a right pyramid is

Volume = ⅓Ah

Where A represents the area of the base

h represent the height of the pyramid

Since it has a square base;

The area is calculated as follows

Area, A = edge * edge

A = n * n

A = n²

Recall that

Volume = ⅓Ah

Substitute n² for A and n - 1 for h

The expression becomes

Volume = ⅓ * n² * (n - 1)

Volume = ⅓n²(n-1)

The expression can be solved further by opening the bracket

Volume = ⅓(n³ - n²)

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3 years ago

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3 years ago

There are 200 balls of the same size inside a dark room. There are 100 white balls, 55 red balls, and 45 black balls. If one stu

Komok [63]

Answer:

Probability of picking Red ball is 27.5%

Step-by-step explanation:

Given:

Total Number of balls = 200

Number of White balls = 100

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Number of Black balls = 45

We need to find the probability of the ball picked to be red.

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Probability is equal to number of Possible Outcomes divide by total number of Outcomes multiplied by 100.

framing in equation form we get;

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3 years ago