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kozerog [31]
2 years ago
10

Find the volume of the square pyramid below

Mathematics
1 answer:
Snowcat [4.5K]2 years ago
7 0

Answer:

A

Step-by-step explanation:

The volume (V) of a pyramid is

V = \frac{1}{3} area of base × perpendicular height (h)

area of square base = 4² = 16 and h = 4, hence

V = \frac{1}{3} × 16 × 4 = \frac{64}{3} = 21 \frac{1}{3} ft³

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Find the error in the following sample of work, if one exists.
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Answer:

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Step-by-step explanation:

The following lines show the process of factorization by using common factor.

<u>Line 1:</u>

In line 1, the equation is given and is completely fine.

y^{2}+8xy+2y+16x=0

The only thing missing was equate to zero, but the options below talk about correct factors only, therefore this can't be considered as a mistake and can be ignored completely.

<u>Line 2:</u>

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This is also fine.

<u>Line 3:</u>

In line 3, the common term y is taken out from group 1 and 2 from other group.

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which is exactly what is given in line 3.

<u>Line 4:</u>

In line 4 the common factors can be seen and easily split into 2 factors.

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which is exactly what is given in line 4.

Options:

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B. Common factor was factored correctly from group 1. So this option does not hold.

C. Common factor was factored correctly from group 2. So this option does not hold.

D. There is no mistake. This is correct. Thus we choose this option as correct answer.

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